Finding the Third Proportional to 6,466 and 13,508

Step by Step Solution

1. Step 1: Write the proportion equation
   6,466 : 13,508 = 13,508 : x
2. Step 2: Convert to fraction form
   6,466/13,508 = 13,508/x
3. Step 3: Cross multiply
   6,466x = 13,508 × 13,508
4. Step 4: Simplify right side
   6,466x = 182,466,064
5. Step 5: Solve for x
   x = 182,466,064/6,466
6. Step 6: Final answer
   x = 28,219.31