Finding the Third Proportional to 11.50 and 17.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 17.50 = 17.50 : x
2. Step 2: Convert to fraction form
   11.50/17.50 = 17.50/x
3. Step 3: Cross multiply
   11.50x = 17.50 × 17.50
4. Step 4: Simplify right side
   11.50x = 306.25
5. Step 5: Solve for x
   x = 306.25/11.50
6. Step 6: Final answer
   x = 26.63