Finding the Third Proportional to 10,057.50 and 22,713.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,057.50 : 22,713.75 = 22,713.75 : x
2. Step 2: Convert to fraction form
   10,057.50/22,713.75 = 22,713.75/x
3. Step 3: Cross multiply
   10,057.50x = 22,713.75 × 22,713.75
4. Step 4: Simplify right side
   10,057.50x = 515,914,439.06
5. Step 5: Solve for x
   x = 515,914,439.06/10,057.50
6. Step 6: Final answer
   x = 51,296.49