Finding the Third Proportional to 23,854.50 and 52,464

Step by Step Solution

1. Step 1: Write the proportion equation
   23,854.50 : 52,464 = 52,464 : x
2. Step 2: Convert to fraction form
   23,854.50/52,464 = 52,464/x
3. Step 3: Cross multiply
   23,854.50x = 52,464 × 52,464
4. Step 4: Simplify right side
   23,854.50x = 2,752,471,296
5. Step 5: Solve for x
   x = 2,752,471,296/23,854.50
6. Step 6: Final answer
   x = 115,385.83