Problem: 

On the image module, I clicked the gear icon, but it did not go to the media library.

 

 

 

 

 

 

 

 

Instead, the screen got black.

Solution:

Solution 1

Try to clear your browser cache or check how it works using the private/incognito browser mode:

Below are a list of tutorials on how to clear your browser cache

Google Chrome on Mac

Google Chrome on Windows

Mozilla Firefox

Safari

Internet Explorer

Solution 2

 The problem could be caused by a 3rd party plugin or some conflict with other codes, can you please try enabling the Safe Mode from the Support Center and see if the issue is fixed?
You can do so by going to Divi > Support Center, scroll down until you find the “Safe Mode” section and you can enable it there.

Note:
 The plugins / custom codes will be disabled just for your account, your visitors will not be affected by the change.

Solution 3

If this doesn’t help with solution 2, please go to your dashboard > Divi > Support Center and enable the Remote Access option as seen this screenshot:
Once it’s enabled, please let me know and I will further investigate the problem, thank you!