Finding the Third Proportional to 6,474 and 12,669

Step by Step Solution

1. Step 1: Write the proportion equation
   6,474 : 12,669 = 12,669 : x
2. Step 2: Convert to fraction form
   6,474/12,669 = 12,669/x
3. Step 3: Cross multiply
   6,474x = 12,669 × 12,669
4. Step 4: Simplify right side
   6,474x = 160,503,561
5. Step 5: Solve for x
   x = 160,503,561/6,474
6. Step 6: Final answer
   x = 24,792.02