Finding the Third Proportional to 6,316 and 10,266

Step by Step Solution

1. Step 1: Write the proportion equation
   6,316 : 10,266 = 10,266 : x
2. Step 2: Convert to fraction form
   6,316/10,266 = 10,266/x
3. Step 3: Cross multiply
   6,316x = 10,266 × 10,266
4. Step 4: Simplify right side
   6,316x = 105,390,756
5. Step 5: Solve for x
   x = 105,390,756/6,316
6. Step 6: Final answer
   x = 16,686.31