Finding the Third Proportional to 25,493.50 and 54,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,493.50 : 54,677.50 = 54,677.50 : x
2. Step 2: Convert to fraction form
   25,493.50/54,677.50 = 54,677.50/x
3. Step 3: Cross multiply
   25,493.50x = 54,677.50 × 54,677.50
4. Step 4: Simplify right side
   25,493.50x = 2,989,629,006.25
5. Step 5: Solve for x
   x = 2,989,629,006.25/25,493.50
6. Step 6: Final answer
   x = 117,270.25