Finding the Third Proportional to 8,120 and 10,666

Step by Step Solution

1. Step 1: Write the proportion equation
   8,120 : 10,666 = 10,666 : x
2. Step 2: Convert to fraction form
   8,120/10,666 = 10,666/x
3. Step 3: Cross multiply
   8,120x = 10,666 × 10,666
4. Step 4: Simplify right side
   8,120x = 113,763,556
5. Step 5: Solve for x
   x = 113,763,556/8,120
6. Step 6: Final answer
   x = 14,010.29