Finding the Third Proportional to 11,555 and 17,666

Step by Step Solution

1. Step 1: Write the proportion equation
   11,555 : 17,666 = 17,666 : x
2. Step 2: Convert to fraction form
   11,555/17,666 = 17,666/x
3. Step 3: Cross multiply
   11,555x = 17,666 × 17,666
4. Step 4: Simplify right side
   11,555x = 312,087,556
5. Step 5: Solve for x
   x = 312,087,556/11,555
6. Step 6: Final answer
   x = 27,008.88