diff --git a/Lib/CGIHTTPServer.py b/Lib/CGIHTTPServer.py
index 47a994c..50e0f7a 100644
--- a/Lib/CGIHTTPServer.py
+++ b/Lib/CGIHTTPServer.py
@@ -105,18 +105,17 @@
 
     def run_cgi(self):
         """Execute a CGI script."""
-        path = self.path
         dir, rest = self.cgi_info
 
-        i = path.find('/', len(dir) + 1)
+        i = rest.find('/')
         while i >= 0:
-            nextdir = path[:i]
-            nextrest = path[i+1:]
+            nextdir = rest[:i]
+            nextrest = rest[i+1:]
 
             scriptdir = self.translate_path(nextdir)
             if os.path.isdir(scriptdir):
                 dir, rest = nextdir, nextrest
-                i = path.find('/', len(dir) + 1)
+                i = rest.find('/')
             else:
                 break
 
diff --git a/Lib/test/test_httpservers.py b/Lib/test/test_httpservers.py
index 3f14360..d0ebb28 100644
--- a/Lib/test/test_httpservers.py
+++ b/Lib/test/test_httpservers.py
@@ -396,6 +396,11 @@
         else:
             self.pythonexe = sys.executable
 
+        self.nocgi_path = os.path.join(self.parent_dir, 'nocgi.py')
+        with open(self.nocgi_path, 'w') as fp:
+            fp.write(cgi_file1 % self.pythonexe)
+        os.chmod(self.nocgi_path, 0777)
+
         self.file1_path = os.path.join(self.cgi_dir, 'file1.py')
         with open(self.file1_path, 'w') as file1:
             file1.write(cgi_file1 % self.pythonexe)
@@ -414,6 +419,7 @@
             os.chdir(self.cwd)
             if self.pythonexe != sys.executable:
                 os.remove(self.pythonexe)
+            os.remove(self.nocgi_path)
             os.remove(self.file1_path)
             os.remove(self.file2_path)
             os.rmdir(self.cgi_dir)
@@ -468,6 +474,10 @@
         self.assertEqual(('Hello World\n', 'text/html', 200),
             (res.read(), res.getheader('Content-type'), res.status))
 
+    def test_issue19435(self):
+        res = self.request('///////////nocgi.py/../cgi-bin/nothere.sh')
+        self.assertEqual(res.status, 404)
+
     def test_post(self):
         params = urllib.urlencode({'spam' : 1, 'eggs' : 'python', 'bacon' : 123456})
         headers = {'Content-type' : 'application/x-www-form-urlencoded'}