Finding the Third Proportional to 11,668 and 17,776

Step by Step Solution

1. Step 1: Write the proportion equation
   11,668 : 17,776 = 17,776 : x
2. Step 2: Convert to fraction form
   11,668/17,776 = 17,776/x
3. Step 3: Cross multiply
   11,668x = 17,776 × 17,776
4. Step 4: Simplify right side
   11,668x = 315,986,176
5. Step 5: Solve for x
   x = 315,986,176/11,668
6. Step 6: Final answer
   x = 27,081.43