Finding the Third Proportional to 11.50 and 12.88

Step by Step Solution

1. Step 1: Write the proportion equation
   11.50 : 12.88 = 12.88 : x
2. Step 2: Convert to fraction form
   11.50/12.88 = 12.88/x
3. Step 3: Cross multiply
   11.50x = 12.88 × 12.88
4. Step 4: Simplify right side
   11.50x = 165.77
5. Step 5: Solve for x
   x = 165.77/11.50
6. Step 6: Final answer
   x = 14.41