Finding the Third Proportional to 22,689 and 52,077.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,689 : 52,077.50 = 52,077.50 : x
2. Step 2: Convert to fraction form
   22,689/52,077.50 = 52,077.50/x
3. Step 3: Cross multiply
   22,689x = 52,077.50 × 52,077.50
4. Step 4: Simplify right side
   22,689x = 2,712,066,006.25
5. Step 5: Solve for x
   x = 2,712,066,006.25/22,689
6. Step 6: Final answer
   x = 119,532.20