Finding the Third Proportional to 6,494 and 12,664

Step by Step Solution

1. Step 1: Write the proportion equation
   6,494 : 12,664 = 12,664 : x
2. Step 2: Convert to fraction form
   6,494/12,664 = 12,664/x
3. Step 3: Cross multiply
   6,494x = 12,664 × 12,664
4. Step 4: Simplify right side
   6,494x = 160,376,896
5. Step 5: Solve for x
   x = 160,376,896/6,494
6. Step 6: Final answer
   x = 24,696.17