Finding the Third Proportional to 30.32 and 71.56

Step by Step Solution

1. Step 1: Write the proportion equation
   30.32 : 71.56 = 71.56 : x
2. Step 2: Convert to fraction form
   30.32/71.56 = 71.56/x
3. Step 3: Cross multiply
   30.32x = 71.56 × 71.56
4. Step 4: Simplify right side
   30.32x = 5,120.91
5. Step 5: Solve for x
   x = 5,120.91/30.32
6. Step 6: Final answer
   x = 168.88