Finding the Third Proportional to 6,826 and 10,249

Step by Step Solution

1. Step 1: Write the proportion equation
   6,826 : 10,249 = 10,249 : x
2. Step 2: Convert to fraction form
   6,826/10,249 = 10,249/x
3. Step 3: Cross multiply
   6,826x = 10,249 × 10,249
4. Step 4: Simplify right side
   6,826x = 105,042,001
5. Step 5: Solve for x
   x = 105,042,001/6,826
6. Step 6: Final answer
   x = 15,388.51