Finding the Third Proportional to 34.59 and 71.72

Step by Step Solution

1. Step 1: Write the proportion equation
   34.59 : 71.72 = 71.72 : x
2. Step 2: Convert to fraction form
   34.59/71.72 = 71.72/x
3. Step 3: Cross multiply
   34.59x = 71.72 × 71.72
4. Step 4: Simplify right side
   34.59x = 5,143.58
5. Step 5: Solve for x
   x = 5,143.58/34.59
6. Step 6: Final answer
   x = 148.69