Finding the Third Proportional to 36,142 and 57,498

Step by Step Solution

1. Step 1: Write the proportion equation
   36,142 : 57,498 = 57,498 : x
2. Step 2: Convert to fraction form
   36,142/57,498 = 57,498/x
3. Step 3: Cross multiply
   36,142x = 57,498 × 57,498
4. Step 4: Simplify right side
   36,142x = 3,306,020,004
5. Step 5: Solve for x
   x = 3,306,020,004/36,142
6. Step 6: Final answer
   x = 91,473.08