diff --git a/sphinx/local_md_files.py b/sphinx/local_md_files.py
index 8d513d04..28fd71a8 100644
--- a/sphinx/local_md_files.py
+++ b/sphinx/local_md_files.py
@@ -7,6 +7,13 @@ logger = logging.getLogger(__name__)
 # Set the maximum heading level to include (e.g., include headings up to H3)
 MAX_HEADING_LEVEL = 3
 
+def natural_sort_key(text):
+    """
+    Generate a key for natural (human-friendly) sorting,
+    where numbers in the text are taken into account by their numeric value.
+    """
+    return [int(c) if c.isdigit() else c.lower() for c in re.split('(\d+)', text)]
+
 def extract_headings_from_file(filepath, max_level=MAX_HEADING_LEVEL):
     """
     Extract Markdown headings (up to max_level) from the file at filepath.
@@ -17,7 +24,7 @@ def extract_headings_from_file(filepath, max_level=MAX_HEADING_LEVEL):
         with open(filepath, 'r', encoding='utf-8') as f:
             in_code_block = False
             for line in f:
-                # Toggle fenced code block state if a line starts with ```
+                # Toggle code block state if a line starts with ```
                 if line.strip().startswith("```"):
                     in_code_block = not in_code_block
                     continue
@@ -29,10 +36,10 @@ def extract_headings_from_file(filepath, max_level=MAX_HEADING_LEVEL):
                     level = len(match.group(1))
                     if level <= max_level:
                         heading_text = match.group(2).strip()
-                        # Create a simple slug for the anchor by:
-                        # - converting to lowercase
-                        # - replacing spaces with hyphens
-                        # - removing non-alphanumeric characters (except hyphens)
+                        # Create a simple slug for the anchor:
+                        # - convert to lowercase
+                        # - replace spaces with hyphens
+                        # - remove non-alphanumeric characters (except hyphens)
                         anchor = re.sub(r'\s+', '-', heading_text.lower())
                         anchor = re.sub(r'[^a-z0-9\-]', '', anchor)
                         headings.append({'level': level, 'text': heading_text, 'anchor': anchor})
@@ -43,10 +50,11 @@ def extract_headings_from_file(filepath, max_level=MAX_HEADING_LEVEL):
 def add_local_md_headings(app, pagename, templatename, context, doctree):
     """
     For every Markdown file in the same directory as the current page,
-    extract its headings and add them to the context.
+    extract its headings, sort them in natural ascending order, and add them
+    to the context.
     """
     srcdir = app.srcdir
-    # Determine the directory of the current page (e.g., "directory/file" → "directory")
+    # Determine the directory of the current page (e.g., "directory/file" -> "directory")
     directory = os.path.dirname(pagename)
     abs_dir = os.path.join(srcdir, directory)
     if not os.path.isdir(abs_dir):
@@ -57,13 +65,9 @@ def add_local_md_headings(app, pagename, templatename, context, doctree):
     local_md_headings = []
     for file in os.listdir(abs_dir):
         if file.endswith('.md'):
-            # Optionally, you may choose to skip the current file:
-            # if file == os.path.basename(pagename):
-            #     continue
             filepath = os.path.join(abs_dir, file)
             headings = extract_headings_from_file(filepath)
             for heading in headings:
-                # Build a full link: if there is a directory, include it in the path.
                 file_link = os.path.join(directory, file) if directory else file
                 full_link = file_link + '#' + heading['anchor']
                 local_md_headings.append({
@@ -71,9 +75,10 @@ def add_local_md_headings(app, pagename, templatename, context, doctree):
                     'text': heading['text'],
                     'link': full_link
                 })
+    # Sort headings in natural ascending order using natural_sort_key.
+    local_md_headings.sort(key=lambda x: natural_sort_key(x['text']))
     context['local_md_headings'] = local_md_headings
 
 def setup(app):
-    # Connect our handler to the "html-page-context" event.
     app.connect('html-page-context', add_local_md_headings)
     return {'version': '0.1', 'parallel_read_safe': True}