Finding the Third Proportional to 14,408 and 31,490

Step by Step Solution

1. Step 1: Write the proportion equation
   14,408 : 31,490 = 31,490 : x
2. Step 2: Convert to fraction form
   14,408/31,490 = 31,490/x
3. Step 3: Cross multiply
   14,408x = 31,490 × 31,490
4. Step 4: Simplify right side
   14,408x = 991,620,100
5. Step 5: Solve for x
   x = 991,620,100/14,408
6. Step 6: Final answer
   x = 68,824.27