Finding the Third Proportional to 11,668.50 and 17,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,668.50 : 17,462.25 = 17,462.25 : x
2. Step 2: Convert to fraction form
   11,668.50/17,462.25 = 17,462.25/x
3. Step 3: Cross multiply
   11,668.50x = 17,462.25 × 17,462.25
4. Step 4: Simplify right side
   11,668.50x = 304,930,175.06
5. Step 5: Solve for x
   x = 304,930,175.06/11,668.50
6. Step 6: Final answer
   x = 26,132.77