Finding the Third Proportional to 25,409 and 55,741

Step by Step Solution

1. Step 1: Write the proportion equation
   25,409 : 55,741 = 55,741 : x
2. Step 2: Convert to fraction form
   25,409/55,741 = 55,741/x
3. Step 3: Cross multiply
   25,409x = 55,741 × 55,741
4. Step 4: Simplify right side
   25,409x = 3,107,059,081
5. Step 5: Solve for x
   x = 3,107,059,081/25,409
6. Step 6: Final answer
   x = 122,281.83