Finding the Third Proportional to 31,646 and 67,382

Step by Step Solution

1. Step 1: Write the proportion equation
   31,646 : 67,382 = 67,382 : x
2. Step 2: Convert to fraction form
   31,646/67,382 = 67,382/x
3. Step 3: Cross multiply
   31,646x = 67,382 × 67,382
4. Step 4: Simplify right side
   31,646x = 4,540,333,924
5. Step 5: Solve for x
   x = 4,540,333,924/31,646
6. Step 6: Final answer
   x = 143,472.60