Finding the Third Proportional to 6,800 and 10,463

Step by Step Solution

1. Step 1: Write the proportion equation
   6,800 : 10,463 = 10,463 : x
2. Step 2: Convert to fraction form
   6,800/10,463 = 10,463/x
3. Step 3: Cross multiply
   6,800x = 10,463 × 10,463
4. Step 4: Simplify right side
   6,800x = 109,474,369
5. Step 5: Solve for x
   x = 109,474,369/6,800
6. Step 6: Final answer
   x = 16,099.17