[tex]\dfrac{2}{3}=\dfrac{m}{42}\ \ \ \ |cross\ multiply\\\\(3)(m)=(2)(42)\\\\3m=84\ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{m=28}[/tex]
[tex]check:\\\\\dfrac{m}{32}=\dfrac{28}{42}=\dfrac{28:7}{42:7}=\dfrac{4}{6}=\dfrac{4:2}{6:2}=\dfrac{2}{3}\ correct\ :)[/tex]
