Finding the Third Proportional to 25,741 and 55,558

Step by Step Solution

1. Step 1: Write the proportion equation
   25,741 : 55,558 = 55,558 : x
2. Step 2: Convert to fraction form
   25,741/55,558 = 55,558/x
3. Step 3: Cross multiply
   25,741x = 55,558 × 55,558
4. Step 4: Simplify right side
   25,741x = 3,086,691,364
5. Step 5: Solve for x
   x = 3,086,691,364/25,741
6. Step 6: Final answer
   x = 119,913.42