Finding the Third Proportional to 31,382 and 67,312

Step by Step Solution

1. Step 1: Write the proportion equation
   31,382 : 67,312 = 67,312 : x
2. Step 2: Convert to fraction form
   31,382/67,312 = 67,312/x
3. Step 3: Cross multiply
   31,382x = 67,312 × 67,312
4. Step 4: Simplify right side
   31,382x = 4,530,905,344
5. Step 5: Solve for x
   x = 4,530,905,344/31,382
6. Step 6: Final answer
   x = 144,379.11