Finding the Third Proportional to 25,829.50 and 54,759.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,829.50 : 54,759.50 = 54,759.50 : x
2. Step 2: Convert to fraction form
   25,829.50/54,759.50 = 54,759.50/x
3. Step 3: Cross multiply
   25,829.50x = 54,759.50 × 54,759.50
4. Step 4: Simplify right side
   25,829.50x = 2,998,602,840.25
5. Step 5: Solve for x
   x = 2,998,602,840.25/25,829.50
6. Step 6: Final answer
   x = 116,092.18