Finding the Third Proportional to 14,577 and 22,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,577 : 22,411.50 = 22,411.50 : x
2. Step 2: Convert to fraction form
   14,577/22,411.50 = 22,411.50/x
3. Step 3: Cross multiply
   14,577x = 22,411.50 × 22,411.50
4. Step 4: Simplify right side
   14,577x = 502,275,332.25
5. Step 5: Solve for x
   x = 502,275,332.25/14,577
6. Step 6: Final answer
   x = 34,456.70