Finding the Third Proportional to 24,564.50 and 57,740.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,564.50 : 57,740.50 = 57,740.50 : x
2. Step 2: Convert to fraction form
   24,564.50/57,740.50 = 57,740.50/x
3. Step 3: Cross multiply
   24,564.50x = 57,740.50 × 57,740.50
4. Step 4: Simplify right side
   24,564.50x = 3,333,965,340.25
5. Step 5: Solve for x
   x = 3,333,965,340.25/24,564.50
6. Step 6: Final answer
   x = 135,722.91