1. **State the problem:** Solve the equation $$\frac{x}{3} \times y \times \frac{6}{2} = \frac{13}{6} \times 6$$ for the variables involved. 2. **Simplify both sides:** - Left side: $$\frac{x}{3} \times y \times \frac{6}{2} = \frac{x}{3} \times y \times 3 = x y$$ - Right side: $$\frac{13}{6} \times 6 = 13$$ 3. **Rewrite the equation:** $$x y = 13$$ 4. **Interpretation:** The product of $x$ and $y$ equals 13. 5. **Final answer:** $$x y = 13$$ This means for any values of $x$ and $y$ such that their product is 13, the equation holds true.