Finding the Third Proportional to 5,676 and 13,666

Step by Step Solution

1. Step 1: Write the proportion equation
   5,676 : 13,666 = 13,666 : x
2. Step 2: Convert to fraction form
   5,676/13,666 = 13,666/x
3. Step 3: Cross multiply
   5,676x = 13,666 × 13,666
4. Step 4: Simplify right side
   5,676x = 186,759,556
5. Step 5: Solve for x
   x = 186,759,556/5,676
6. Step 6: Final answer
   x = 32,903.37