Finding the Third Proportional to 25,078.50 and 49,542.75

Step by Step Solution

1. Step 1: Write the proportion equation
   25,078.50 : 49,542.75 = 49,542.75 : x
2. Step 2: Convert to fraction form
   25,078.50/49,542.75 = 49,542.75/x
3. Step 3: Cross multiply
   25,078.50x = 49,542.75 × 49,542.75
4. Step 4: Simplify right side
   25,078.50x = 2,454,484,077.56
5. Step 5: Solve for x
   x = 2,454,484,077.56/25,078.50
6. Step 6: Final answer
   x = 97,872.04