Is there any engineer tutor:? If yes, can you chech did solve this correctly? Check and see are the equation dimensional homogeneous.

F=PT
ML /T^2 =M/LT^2 *θ
(θ/L^2)ML /T^2 =M/LT^2 *θ(L)
(θML/LT^2 =MθL /LT^2
Yes

I assume F is force, Newtons or mass*delta velocity/time M * L/T /T = M L/T^2 yes

I assume P is momentum
however force is delta momentum over delta time, not PT but P/T
How did theta get into the act? Does not matter, has no units.
please use parentheses to avoid ambiguity
is MθL /LT^2
MθL /(LT^2) or (MθL /L)T^2 ?