ANSWER
m = 90
EXPLANATION
To find m first we have to multiply both sides by m:
[tex]\begin{gathered} \frac{18}{27}m=\frac{60}{m}m \\ \frac{18}{27}m=60 \end{gathered}[/tex]Then multiply both sides by 27:
[tex]\begin{gathered} \frac{18m}{27}\cdot27=60\cdot27 \\ 18m=1620 \end{gathered}[/tex]And finally divide both sides by 18:
[tex]\begin{gathered} \frac{18m}{18}=\frac{1620}{18} \\ m=90 \end{gathered}[/tex]