Let's begin by identifying key information given to us:
[tex]\begin{gathered} \frac{2}{6}=\frac{10}{x} \\ \text{Cross multiply, we have:} \\ 2\cdot x=10\cdot6 \\ 2x=60 \\ \text{Divide both sides by 2, we have:} \\ x=\frac{60}{2}=30 \\ x=30 \\ \\ \therefore\frac{2}{6}=\frac{10}{30} \end{gathered}[/tex]