Pete25.....one point of consideration is to try & understand an approximate scale [or stand off scale] that you are using

....1:96?.....1:144?
From there you could compare & calculate the real vessel diameter props.....then scale down .......

....
Lets work backwards for an example

A battleship may have 18' [6000mm] diameter propellors...so if the scale were 1:96....[6000 divided by 96] = ~~~~ 69mm diameter which is pretty close to diameter offered by shipmate60 as below

Linear dimensions eg., "length/diameter" are simply divided by the scale.......however when we bring a second element eg.,"speed or rotation" we divide by the square root of the scale ......
With respect to the prop shaft sizing.........the props themselves will have a nominal shaft size rating/requirement.........so try & match up your components prior to purchasing any individual item & don't forget the shaft A frames....battleships may have two per shaft & all must be considered & match........

....Derek