Finding the Third Proportional to 16.02 and 34.71

Step by Step Solution

1. Step 1: Write the proportion equation
   16.02 : 34.71 = 34.71 : x
2. Step 2: Convert to fraction form
   16.02/34.71 = 34.71/x
3. Step 3: Cross multiply
   16.02x = 34.71 × 34.71
4. Step 4: Simplify right side
   16.02x = 1,204.49
5. Step 5: Solve for x
   x = 1,204.49/16.02
6. Step 6: Final answer
   x = 75.20