Want to buy a new laptop (Apple) and use my Cross (PC)

I own a nightclub and play music videos and we upgrade computers every two years. This time when I upgrade I want to go Apple, but prior I purchased the PC version of Cross 3-11. The Cross PC version I have on the old computer will be erased as the computer will be sold and I want to transfer Cross to the new Apple, but can I do this as I purchased the PC version and have been using that one.
Thanks,
Dave McDermott
Thanks,
Dave McDermott