1. **State the problem:** Find the value of $a$ in the equation $$2 = \frac{26}{2a}$$. 2. **Write down the formula and rules:** We want to solve for $a$. The equation involves a fraction, so we can multiply both sides by the denominator to eliminate the fraction. 3. **Multiply both sides by $2a$ to clear the denominator:** $$2 \times 2a = \frac{26}{\cancel{2a}} \times 2a$$ which simplifies to $$4a = 26$$ 4. **Solve for $a$ by dividing both sides by 4:** $$a = \frac{26}{4}$$ 5. **Simplify the fraction:** $$a = \frac{\cancel{26}}{\cancel{4}} = \frac{13}{2} = 6.5$$ **Final answer:** $$a = 6.5$$