Finding the Third Proportional to 34.17 and 42.71

Step by Step Solution

1. Step 1: Write the proportion equation
   34.17 : 42.71 = 42.71 : x
2. Step 2: Convert to fraction form
   34.17/42.71 = 42.71/x
3. Step 3: Cross multiply
   34.17x = 42.71 × 42.71
4. Step 4: Simplify right side
   34.17x = 1,824.56
5. Step 5: Solve for x
   x = 1,824.56/34.17
6. Step 6: Final answer
   x = 53.39