1. **State the problem:** Solve the equation $$\frac{x}{6.5} = 3$$ for $x$. 2. **Formula and rule:** To solve for $x$ when it is in the numerator of a fraction, multiply both sides of the equation by the denominator to isolate $x$. 3. **Multiply both sides by 6.5:** $$\frac{x}{6.5} \times 6.5 = 3 \times 6.5$$ 4. **Cancel the denominator on the left side:** $$\cancel{\frac{x}{6.5}} \times \cancel{6.5} = 3 \times 6.5$$ 5. **Simplify:** $$x = 19.5$$ 6. **Answer:** The value of $x$ is $19.5$.