Finding the Third Proportional to 34.03 and 74.72

Step by Step Solution

1. Step 1: Write the proportion equation
   34.03 : 74.72 = 74.72 : x
2. Step 2: Convert to fraction form
   34.03/74.72 = 74.72/x
3. Step 3: Cross multiply
   34.03x = 74.72 × 74.72
4. Step 4: Simplify right side
   34.03x = 5,582.89
5. Step 5: Solve for x
   x = 5,582.89/34.03
6. Step 6: Final answer
   x = 164.05