Finding the Third Proportional to 2,617 and 5,666

Step by Step Solution

1. Step 1: Write the proportion equation
   2,617 : 5,666 = 5,666 : x
2. Step 2: Convert to fraction form
   2,617/5,666 = 5,666/x
3. Step 3: Cross multiply
   2,617x = 5,666 × 5,666
4. Step 4: Simplify right side
   2,617x = 32,103,556
5. Step 5: Solve for x
   x = 32,103,556/2,617
6. Step 6: Final answer
   x = 12,267.31