Finding the Third Proportional to 13.50 and 24.05

Step by Step Solution

1. Step 1: Write the proportion equation
   13.50 : 24.05 = 24.05 : x
2. Step 2: Convert to fraction form
   13.50/24.05 = 24.05/x
3. Step 3: Cross multiply
   13.50x = 24.05 × 24.05
4. Step 4: Simplify right side
   13.50x = 578.25
5. Step 5: Solve for x
   x = 578.25/13.50
6. Step 6: Final answer
   x = 42.83