Finding the Third Proportional to 13.50 and 28.27

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 28.27 = 28.27 : x
2. Step 2: Convert to fraction form
   13.50/28.27 = 28.27/x
3. Step 3: Cross multiply
   13.50x = 28.27 × 28.27
4. Step 4: Simplify right side
   13.50x = 798.95
5. Step 5: Solve for x
   x = 798.95/13.50
6. Step 6: Final answer
   x = 59.18