Finding the Third Proportional to 31,662 and 67,982

Step by Step Solution

1. Step 1: Write the proportion equation
   31,662 : 67,982 = 67,982 : x
2. Step 2: Convert to fraction form
   31,662/67,982 = 67,982/x
3. Step 3: Cross multiply
   31,662x = 67,982 × 67,982
4. Step 4: Simplify right side
   31,662x = 4,621,552,324
5. Step 5: Solve for x
   x = 4,621,552,324/31,662
6. Step 6: Final answer
   x = 145,965.27