Finding the Third Proportional to 33.05 and 74.67

Step by Step Solution

1. Step 1: Write the proportion equation
   33.05 : 74.67 = 74.67 : x
2. Step 2: Convert to fraction form
   33.05/74.67 = 74.67/x
3. Step 3: Cross multiply
   33.05x = 74.67 × 74.67
4. Step 4: Simplify right side
   33.05x = 5,575.89
5. Step 5: Solve for x
   x = 5,575.89/33.05
6. Step 6: Final answer
   x = 168.73