1. **State the problem:** Solve for the variable $x$ in the equation $$\frac{1}{3} \times x = 9$$. 2. **Formula and rules:** To isolate $x$, multiply both sides of the equation by the reciprocal of $\frac{1}{3}$, which is 3. 3. **Intermediate work:** $$\frac{1}{3} \times x = 9$$ Multiply both sides by 3: $$3 \times \frac{1}{3} \times x = 3 \times 9$$ Simplify the left side: $$1 \times x = 27$$ So, $$x = 27$$ 4. **Explanation:** Multiplying both sides by 3 cancels out the $\frac{1}{3}$ on the left, leaving $x$ alone. The right side becomes $27$ because $3 \times 9 = 27$. **Final answer:** $$x = 27$$