Finding the Third Proportional to 14,389 and 31,468

Step by Step Solution

1. Step 1: Write the proportion equation
   14,389 : 31,468 = 31,468 : x
2. Step 2: Convert to fraction form
   14,389/31,468 = 31,468/x
3. Step 3: Cross multiply
   14,389x = 31,468 × 31,468
4. Step 4: Simplify right side
   14,389x = 990,235,024
5. Step 5: Solve for x
   x = 990,235,024/14,389
6. Step 6: Final answer
   x = 68,818.89