Finding the Third Proportional to 11.50 and 14.61

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 14.61 = 14.61 : x
2. Step 2: Convert to fraction form
   11.50/14.61 = 14.61/x
3. Step 3: Cross multiply
   11.50x = 14.61 × 14.61
4. Step 4: Simplify right side
   11.50x = 213.38
5. Step 5: Solve for x
   x = 213.38/11.50
6. Step 6: Final answer
   x = 18.56