Finding the Third Proportional to 24,509.25 and 53,685.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,509.25 : 53,685.75 = 53,685.75 : x
2. Step 2: Convert to fraction form
   24,509.25/53,685.75 = 53,685.75/x
3. Step 3: Cross multiply
   24,509.25x = 53,685.75 × 53,685.75
4. Step 4: Simplify right side
   24,509.25x = 2,882,159,753.06
5. Step 5: Solve for x
   x = 2,882,159,753.06/24,509.25
6. Step 6: Final answer
   x = 117,594.78