OK. You don't need to calculate any voltages.
Total circuit resistance is defined as 12V / 2A which = 6Ω
R3 is passing 1.5A which is 75%, or 3/4 if you like, of 2A.
Therefore 25% of the current is flowing in R2.
To calculate R2, divide 75% by 25% the result of which is 3.
To get the value of R2...