Finding the Third Proportional to 22,500 and 32,526

Step by Step Solution

1. Step 1: Write the proportion equation
   22,500 : 32,526 = 32,526 : x
2. Step 2: Convert to fraction form
   22,500/32,526 = 32,526/x
3. Step 3: Cross multiply
   22,500x = 32,526 × 32,526
4. Step 4: Simplify right side
   22,500x = 1,057,940,676
5. Step 5: Solve for x
   x = 1,057,940,676/22,500
6. Step 6: Final answer
   x = 47,019.59