Finding the Third Proportional to 6,508 and 10,614

Step by Step Solution

1. Step 1: Write the proportion equation
   6,508 : 10,614 = 10,614 : x
2. Step 2: Convert to fraction form
   6,508/10,614 = 10,614/x
3. Step 3: Cross multiply
   6,508x = 10,614 × 10,614
4. Step 4: Simplify right side
   6,508x = 112,656,996
5. Step 5: Solve for x
   x = 112,656,996/6,508
6. Step 6: Final answer
   x = 17,310.54