Finding the Third Proportional to 6,863 and 10,281

Step by Step Solution

1. Step 1: Write the proportion equation
   6,863 : 10,281 = 10,281 : x
2. Step 2: Convert to fraction form
   6,863/10,281 = 10,281/x
3. Step 3: Cross multiply
   6,863x = 10,281 × 10,281
4. Step 4: Simplify right side
   6,863x = 105,698,961
5. Step 5: Solve for x
   x = 105,698,961/6,863
6. Step 6: Final answer
   x = 15,401.28