Finding the Third Proportional to 6,826 and 10,508

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,508 = 10,508 : x
2. Step 2: Convert to fraction form
   6,826/10,508 = 10,508/x
3. Step 3: Cross multiply
   6,826x = 10,508 × 10,508
4. Step 4: Simplify right side
   6,826x = 110,418,064
5. Step 5: Solve for x
   x = 110,418,064/6,826
6. Step 6: Final answer
   x = 16,176.10