Finding the Third Proportional to 6,466 and 12,824

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466 : 12,824 = 12,824 : x
2. Step 2: Convert to fraction form
   6,466/12,824 = 12,824/x
3. Step 3: Cross multiply
   6,466x = 12,824 × 12,824
4. Step 4: Simplify right side
   6,466x = 164,454,976
5. Step 5: Solve for x
   x = 164,454,976/6,466
6. Step 6: Final answer
   x = 25,433.80