Finding the Third Proportional to 26,512.50 and 57,689.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,512.50 : 57,689.25 = 57,689.25 : x
2. Step 2: Convert to fraction form
   26,512.50/57,689.25 = 57,689.25/x
3. Step 3: Cross multiply
   26,512.50x = 57,689.25 × 57,689.25
4. Step 4: Simplify right side
   26,512.50x = 3,328,049,565.56
5. Step 5: Solve for x
   x = 3,328,049,565.56/26,512.50
6. Step 6: Final answer
   x = 125,527.56