Finding the Third Proportional to 13.50 and 21.56

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 21.56 = 21.56 : x
2. Step 2: Convert to fraction form
   13.50/21.56 = 21.56/x
3. Step 3: Cross multiply
   13.50x = 21.56 × 21.56
4. Step 4: Simplify right side
   13.50x = 464.94
5. Step 5: Solve for x
   x = 464.94/13.50
6. Step 6: Final answer
   x = 34.44