Finding the Third Proportional to 6,860 and 10,666

Step by Step Solution

1. Step 1: Write the proportion equation
   6,860 : 10,666 = 10,666 : x
2. Step 2: Convert to fraction form
   6,860/10,666 = 10,666/x
3. Step 3: Cross multiply
   6,860x = 10,666 × 10,666
4. Step 4: Simplify right side
   6,860x = 113,763,556
5. Step 5: Solve for x
   x = 113,763,556/6,860
6. Step 6: Final answer
   x = 16,583.61