Finding the Third Proportional to 33.50 and 74.56

Step by Step Solution

1. Step 1: Write the proportion equation
   33.50 : 74.56 = 74.56 : x
2. Step 2: Convert to fraction form
   33.50/74.56 = 74.56/x
3. Step 3: Cross multiply
   33.50x = 74.56 × 74.56
4. Step 4: Simplify right side
   33.50x = 5,559.57
5. Step 5: Solve for x
   x = 5,559.57/33.50
6. Step 6: Final answer
   x = 165.96