Finding the Third Proportional to 34.80 and 71.82

Step by Step Solution

1. Step 1: Write the proportion equation
   34.80 : 71.82 = 71.82 : x
2. Step 2: Convert to fraction form
   34.80/71.82 = 71.82/x
3. Step 3: Cross multiply
   34.80x = 71.82 × 71.82
4. Step 4: Simplify right side
   34.80x = 5,158.72
5. Step 5: Solve for x
   x = 5,158.72/34.80
6. Step 6: Final answer
   x = 148.22