Finding the Third Proportional to 6,526 and 13,500

Step by Step Solution

1. Step 1: Write the proportion equation
   6,526 : 13,500 = 13,500 : x
2. Step 2: Convert to fraction form
   6,526/13,500 = 13,500/x
3. Step 3: Cross multiply
   6,526x = 13,500 × 13,500
4. Step 4: Simplify right side
   6,526x = 182,250,000
5. Step 5: Solve for x
   x = 182,250,000/6,526
6. Step 6: Final answer
   x = 27,926.75