Finding the Third Proportional to 22,861 and 34,535

Step by Step Solution

1. Step 1: Write the proportion equation
   22,861 : 34,535 = 34,535 : x
2. Step 2: Convert to fraction form
   22,861/34,535 = 34,535/x
3. Step 3: Cross multiply
   22,861x = 34,535 × 34,535
4. Step 4: Simplify right side
   22,861x = 1,192,666,225
5. Step 5: Solve for x
   x = 1,192,666,225/22,861
6. Step 6: Final answer
   x = 52,170.34