Finding the Third Proportional to 13.50 and 19.31

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 19.31 = 19.31 : x
2. Step 2: Convert to fraction form
   13.50/19.31 = 19.31/x
3. Step 3: Cross multiply
   13.50x = 19.31 × 19.31
4. Step 4: Simplify right side
   13.50x = 372.97
5. Step 5: Solve for x
   x = 372.97/13.50
6. Step 6: Final answer
   x = 27.63