Finding the Third Proportional to 25,384 and 55,142

Step by Step Solution

1. Step 1: Write the proportion equation
   25,384 : 55,142 = 55,142 : x
2. Step 2: Convert to fraction form
   25,384/55,142 = 55,142/x
3. Step 3: Cross multiply
   25,384x = 55,142 × 55,142
4. Step 4: Simplify right side
   25,384x = 3,040,640,164
5. Step 5: Solve for x
   x = 3,040,640,164/25,384
6. Step 6: Final answer
   x = 119,785.70