After is says "Extracting it asks if I want to run as administrator or as current user. There is no administrator, so I click "current user" and nothing happens.
Make sure your not local user. you must have Administrator privileges to install Mozilla Firefox
What do I use for the password for the Administrator?
reply to; firstname.lastname@example.org
What is the password that I need to put in for Administrator?
If you run a Windows account that has Administrator privileges then you should be able to change or set the Administrator password. in the Windows user account manager
Where do you find:
"Administrator password. in the Windows user account manager"