Install Corel Painter Essentials 7 on a new computer with a different OS

I would like to install Corel Painter Essentials 7 on a new computer which is different from my current computer.

I currently have a Windows 7 PC. I am thinking of buying a Mac. However, I would like to hold on to my Windows PC for sometime.

I have Corel Painter Essentials 7 for Windows.

I think I can install Painter Essentials on 3 computers.

My question really is:

What if my two computers are different – one is Windows and the other is Mac ? Can I have the Windows+Mac installations with my purchase ? In other words, can the 2 computers be different ? One Windows and the other Mac ?