Finding the Third Proportional to 11,752.50 and 25,746

Step by Step Solution

1. Step 1: Write the proportion equation
   11,752.50 : 25,746 = 25,746 : x
2. Step 2: Convert to fraction form
   11,752.50/25,746 = 25,746/x
3. Step 3: Cross multiply
   11,752.50x = 25,746 × 25,746
4. Step 4: Simplify right side
   11,752.50x = 662,856,516
5. Step 5: Solve for x
   x = 662,856,516/11,752.50
6. Step 6: Final answer
   x = 56,401.32