Finding the Third Proportional to 25,642 and 55,496

Step by Step Solution

1. Step 1: Write the proportion equation
   25,642 : 55,496 = 55,496 : x
2. Step 2: Convert to fraction form
   25,642/55,496 = 55,496/x
3. Step 3: Cross multiply
   25,642x = 55,496 × 55,496
4. Step 4: Simplify right side
   25,642x = 3,079,806,016
5. Step 5: Solve for x
   x = 3,079,806,016/25,642
6. Step 6: Final answer
   x = 120,107.87