Finding the Third Proportional to 11.53 and 13.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11.53 : 13.50 = 13.50 : x
2. Step 2: Convert to fraction form
   11.53/13.50 = 13.50/x
3. Step 3: Cross multiply
   11.53x = 13.50 × 13.50
4. Step 4: Simplify right side
   11.53x = 182.25
5. Step 5: Solve for x
   x = 182.25/11.53
6. Step 6: Final answer
   x = 15.80