Finding the Third Proportional to 22,534.50 and 52,165.88

Step by Step Solution

1. Step 1: Write the proportion equation
   22,534.50 : 52,165.88 = 52,165.88 : x
2. Step 2: Convert to fraction form
   22,534.50/52,165.88 = 52,165.88/x
3. Step 3: Cross multiply
   22,534.50x = 52,165.88 × 52,165.88
4. Step 4: Simplify right side
   22,534.50x = 2,721,278,514.52
5. Step 5: Solve for x
   x = 2,721,278,514.52/22,534.50
6. Step 6: Final answer
   x = 120,760.55