Finding the Third Proportional to 25,742 and 55,561

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 55,561 = 55,561 : x
2. Step 2: Convert to fraction form
   25,742/55,561 = 55,561/x
3. Step 3: Cross multiply
   25,742x = 55,561 × 55,561
4. Step 4: Simplify right side
   25,742x = 3,087,024,721
5. Step 5: Solve for x
   x = 3,087,024,721/25,742
6. Step 6: Final answer
   x = 119,921.71