Finding the Third Proportional to 14,384 and 31,300

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 31,300 = 31,300 : x
2. Step 2: Convert to fraction form
   14,384/31,300 = 31,300/x
3. Step 3: Cross multiply
   14,384x = 31,300 × 31,300
4. Step 4: Simplify right side
   14,384x = 979,690,000
5. Step 5: Solve for x
   x = 979,690,000/14,384
6. Step 6: Final answer
   x = 68,109.71