Finding the Third Proportional to 25,142 and 55,306

Step by Step Solution

1. Step 1: Write the proportion equation
   25,142 : 55,306 = 55,306 : x
2. Step 2: Convert to fraction form
   25,142/55,306 = 55,306/x
3. Step 3: Cross multiply
   25,142x = 55,306 × 55,306
4. Step 4: Simplify right side
   25,142x = 3,058,753,636
5. Step 5: Solve for x
   x = 3,058,753,636/25,142
6. Step 6: Final answer
   x = 121,659.12