Finding the Third Proportional to 24,569.75 and 53,740.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,569.75 : 53,740.25 = 53,740.25 : x
2. Step 2: Convert to fraction form
   24,569.75/53,740.25 = 53,740.25/x
3. Step 3: Cross multiply
   24,569.75x = 53,740.25 × 53,740.25
4. Step 4: Simplify right side
   24,569.75x = 2,888,014,470.06
5. Step 5: Solve for x
   x = 2,888,014,470.06/24,569.75
6. Step 6: Final answer
   x = 117,543.50