Finding the Third Proportional to 2,591 and 5,668

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591 : 5,668 = 5,668 : x
2. Step 2: Convert to fraction form
   2,591/5,668 = 5,668/x
3. Step 3: Cross multiply
   2,591x = 5,668 × 5,668
4. Step 4: Simplify right side
   2,591x = 32,126,224
5. Step 5: Solve for x
   x = 32,126,224/2,591
6. Step 6: Final answer
   x = 12,399.16