Finding the Third Proportional to 25,766.25 and 54,691.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,766.25 : 54,691.50 = 54,691.50 : x
2. Step 2: Convert to fraction form
   25,766.25/54,691.50 = 54,691.50/x
3. Step 3: Cross multiply
   25,766.25x = 54,691.50 × 54,691.50
4. Step 4: Simplify right side
   25,766.25x = 2,991,160,172.25
5. Step 5: Solve for x
   x = 2,991,160,172.25/25,766.25
6. Step 6: Final answer
   x = 116,088.30