Finding the Third Proportional to 33.12 and 42.96

Step by Step Solution

1. Step 1: Write the proportion equation
   33.12 : 42.96 = 42.96 : x
2. Step 2: Convert to fraction form
   33.12/42.96 = 42.96/x
3. Step 3: Cross multiply
   33.12x = 42.96 × 42.96
4. Step 4: Simplify right side
   33.12x = 1,845.64
5. Step 5: Solve for x
   x = 1,845.64/33.12
6. Step 6: Final answer
   x = 55.73