Finding the Third Proportional to 24,592.50 and 53,354.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,592.50 : 53,354.25 = 53,354.25 : x
2. Step 2: Convert to fraction form
   24,592.50/53,354.25 = 53,354.25/x
3. Step 3: Cross multiply
   24,592.50x = 53,354.25 × 53,354.25
4. Step 4: Simplify right side
   24,592.50x = 2,846,675,993.06
5. Step 5: Solve for x
   x = 2,846,675,993.06/24,592.50
6. Step 6: Final answer
   x = 115,753.83