Please note that Projetex does not need to have its database synchronized. It is a client-server based application. It means that it is designed to allow you to access your database from all over the world as well as from your local PC. Therefore, you can just install your Projetex Server and database on your first PC. And then you will be able to connect to this server via LAN or the Internet using the IP address of that computer (as long as the "server" PC is active).

You can find more information about connecting to a server remotely in the following guide: http://projetex.com/download/documentation/WorkstationSetupQuickStartGuide.pdf

Another article about connecting to a remote server: http://aithelp.com/index.php?/Knowledgebase/Article/View/593/0/how-can-i-connect-to-projetex-from-another-pc