Finding the Third Proportional to 6,829 and 10,442

Step by Step Solution

1. Step 1: Write the proportion equation
   6,829 : 10,442 = 10,442 : x
2. Step 2: Convert to fraction form
   6,829/10,442 = 10,442/x
3. Step 3: Cross multiply
   6,829x = 10,442 × 10,442
4. Step 4: Simplify right side
   6,829x = 109,035,364
5. Step 5: Solve for x
   x = 109,035,364/6,829
6. Step 6: Final answer
   x = 15,966.52