Finding the Third Proportional to 13.50 and 15.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 15.38 = 15.38 : x
2. Step 2: Convert to fraction form
   13.50/15.38 = 15.38/x
3. Step 3: Cross multiply
   13.50x = 15.38 × 15.38
4. Step 4: Simplify right side
   13.50x = 236.39
5. Step 5: Solve for x
   x = 236.39/13.50
6. Step 6: Final answer
   x = 17.51