Finding the Third Proportional to 25,096 and 49,562

Step by Step Solution

1. Step 1: Write the proportion equation
   25,096 : 49,562 = 49,562 : x
2. Step 2: Convert to fraction form
   25,096/49,562 = 49,562/x
3. Step 3: Cross multiply
   25,096x = 49,562 × 49,562
4. Step 4: Simplify right side
   25,096x = 2,456,391,844
5. Step 5: Solve for x
   x = 2,456,391,844/25,096
6. Step 6: Final answer
   x = 97,879.82