Finding the Third Proportional to 31,142 and 65,320

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 65,320 = 65,320 : x
2. Step 2: Convert to fraction form
   31,142/65,320 = 65,320/x
3. Step 3: Cross multiply
   31,142x = 65,320 × 65,320
4. Step 4: Simplify right side
   31,142x = 4,266,702,400
5. Step 5: Solve for x
   x = 4,266,702,400/31,142
6. Step 6: Final answer
   x = 137,007.98