Finding the Third Proportional to 11,792.75 and 25,772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,792.75 : 25,772.50 = 25,772.50 : x
2. Step 2: Convert to fraction form
   11,792.75/25,772.50 = 25,772.50/x
3. Step 3: Cross multiply
   11,792.75x = 25,772.50 × 25,772.50
4. Step 4: Simplify right side
   11,792.75x = 664,221,756.25
5. Step 5: Solve for x
   x = 664,221,756.25/11,792.75
6. Step 6: Final answer
   x = 56,324.59