Finding the Third Proportional to 14,839 and 31,729

Step by Step Solution

1. Step 1: Write the proportion equation
   14,839 : 31,729 = 31,729 : x
2. Step 2: Convert to fraction form
   14,839/31,729 = 31,729/x
3. Step 3: Cross multiply
   14,839x = 31,729 × 31,729
4. Step 4: Simplify right side
   14,839x = 1,006,729,441
5. Step 5: Solve for x
   x = 1,006,729,441/14,839
6. Step 6: Final answer
   x = 67,843.48