In order to solve a proportion, you should cross-multiply:-
[tex]\bf{\displaystyle\frac{3x}{10} =\frac{3}{2}}[/tex]
Multiply 3x times 2 and 10 times 3:-
[tex]\bf{6x=30}[/tex]
Divide both sides by 6:-
[tex]\boxed{\bf{x=5}}[/tex]
Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)