Finding the Third Proportional to 14,639 and 31,019

Step by Step Solution

1. Step 1: Write the proportion equation
   14,639 : 31,019 = 31,019 : x
2. Step 2: Convert to fraction form
   14,639/31,019 = 31,019/x
3. Step 3: Cross multiply
   14,639x = 31,019 × 31,019
4. Step 4: Simplify right side
   14,639x = 962,178,361
5. Step 5: Solve for x
   x = 962,178,361/14,639
6. Step 6: Final answer
   x = 65,727.06