Finding the Third Proportional to 12,142 and 25,382

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142 : 25,382 = 25,382 : x
2. Step 2: Convert to fraction form
   12,142/25,382 = 25,382/x
3. Step 3: Cross multiply
   12,142x = 25,382 × 25,382
4. Step 4: Simplify right side
   12,142x = 644,245,924
5. Step 5: Solve for x
   x = 644,245,924/12,142
6. Step 6: Final answer
   x = 53,059.29