Finding the Third Proportional to 25,762.50 and 54,292.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,762.50 : 54,292.50 = 54,292.50 : x
2. Step 2: Convert to fraction form
   25,762.50/54,292.50 = 54,292.50/x
3. Step 3: Cross multiply
   25,762.50x = 54,292.50 × 54,292.50
4. Step 4: Simplify right side
   25,762.50x = 2,947,675,556.25
5. Step 5: Solve for x
   x = 2,947,675,556.25/25,762.50
6. Step 6: Final answer
   x = 114,417.29