Finding the Third Proportional to 31,082 and 67,682

Step by Step Solution

1. Step 1: Write the proportion equation
   31,082 : 67,682 = 67,682 : x
2. Step 2: Convert to fraction form
   31,082/67,682 = 67,682/x
3. Step 3: Cross multiply
   31,082x = 67,682 × 67,682
4. Step 4: Simplify right side
   31,082x = 4,580,853,124
5. Step 5: Solve for x
   x = 4,580,853,124/31,082
6. Step 6: Final answer
   x = 147,379.61