Finding the Third Proportional to 33.54 and 74.04

Step by Step Solution

1. Step 1: Write the proportion equation
   33.54 : 74.04 = 74.04 : x
2. Step 2: Convert to fraction form
   33.54/74.04 = 74.04/x
3. Step 3: Cross multiply
   33.54x = 74.04 × 74.04
4. Step 4: Simplify right side
   33.54x = 5,481.78
5. Step 5: Solve for x
   x = 5,481.78/33.54
6. Step 6: Final answer
   x = 163.44