Finding the Third Proportional to 6,829 and 10,441

Step by Step Solution

1. Step 1: Write the proportion equation
   6,829 : 10,441 = 10,441 : x
2. Step 2: Convert to fraction form
   6,829/10,441 = 10,441/x
3. Step 3: Cross multiply
   6,829x = 10,441 × 10,441
4. Step 4: Simplify right side
   6,829x = 109,014,481
5. Step 5: Solve for x
   x = 109,014,481/6,829
6. Step 6: Final answer
   x = 15,963.46