Finding the Third Proportional to 14,382 and 31,294

Step by Step Solution

1. Step 1: Write the proportion equation
   14,382 : 31,294 = 31,294 : x
2. Step 2: Convert to fraction form
   14,382/31,294 = 31,294/x
3. Step 3: Cross multiply
   14,382x = 31,294 × 31,294
4. Step 4: Simplify right side
   14,382x = 979,314,436
5. Step 5: Solve for x
   x = 979,314,436/14,382
6. Step 6: Final answer
   x = 68,093.06