Finding the Third Proportional to 34 and 71

Step by Step Solution

1. Step 1: Write the proportion equation
   34 : 71 = 71 : x
2. Step 2: Convert to fraction form
   34/71 = 71/x
3. Step 3: Cross multiply
   34x = 71 × 71
4. Step 4: Simplify right side
   34x = 5,041
5. Step 5: Solve for x
   x = 5,041/34
6. Step 6: Final answer
   x = 148.26