Finding the Third Proportional to 25,828.50 and 54,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,828.50 : 54,757.50 = 54,757.50 : x
2. Step 2: Convert to fraction form
   25,828.50/54,757.50 = 54,757.50/x
3. Step 3: Cross multiply
   25,828.50x = 54,757.50 × 54,757.50
4. Step 4: Simplify right side
   25,828.50x = 2,998,383,806.25
5. Step 5: Solve for x
   x = 2,998,383,806.25/25,828.50
6. Step 6: Final answer
   x = 116,088.19