By A Web Design
Login to your cPanel and look for the Security section of icons. Click on Password Protect Directories as shown in Diagram 1.

Diagram 1
On click of the Password Protect Directories icon, the screen as shown in diagram 2 will appear. Simply click Go.
Diagram 2
On the next page, select the Administrator directory. This is the password protected Joomla folder on the website as shown in Diagram 3. There is a lock icon on the extreme left hand side of the folder indocating that the folder is locked i.e. protected..

Diagram 3
When the administrator folder is clicked on the screen as shown in diagram 4 is shown in the Browser.

Diagram 4
Execute the following exactly as described.
Step 1: Delete the user
Step 2: Uncheck the checkbox - Password protect this directory
NOTE: Do not delete the Name of the protected directory
Click SAVE
The Joomla Administrator folder protection is removed.