Finding the Third Proportional to 24,366 and 53,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,366 : 53,140.50 = 53,140.50 : x
2. Step 2: Convert to fraction form
   24,366/53,140.50 = 53,140.50/x
3. Step 3: Cross multiply
   24,366x = 53,140.50 × 53,140.50
4. Step 4: Simplify right side
   24,366x = 2,823,912,740.25
5. Step 5: Solve for x
   x = 2,823,912,740.25/24,366
6. Step 6: Final answer
   x = 115,895.62