1. **State the problem:** Solve for $x$ in the equation $\frac{x}{3} = 16$. 2. **Formula used:** To isolate $x$, multiply both sides of the equation by 3 because $x$ is divided by 3. 3. **Apply the multiplication:** $$\frac{x}{3} = 16$$ Multiply both sides by 3: $$\cancel{3} \times \frac{x}{\cancel{3}} = 16 \times 3$$ 4. **Simplify:** $$x = 48$$ 5. **Explanation:** Multiplying both sides by 3 cancels the denominator on the left side, leaving $x$ alone. The right side becomes $16 \times 3 = 48$. **Final answer:** $$x = 48$$