Can you please confirm that TeamViewer 3 Host is the version of TeamViewer which enables access to the remote computer without the need for manual password verification from the host computer user?
Yes. The TeamViewer Host is the software that will allow you to connect to the remote computer. However, you will have to know the password from the computer that you want to connect to. Also, this is an old version of the software. The latest version is 9.0.2 and you can download it from the official website.