Finding the Third Proportional to 30.20 and 71.86

Step by Step Solution

1. Step 1: Write the proportion equation
   30.20 : 71.86 = 71.86 : x
2. Step 2: Convert to fraction form
   30.20/71.86 = 71.86/x
3. Step 3: Cross multiply
   30.20x = 71.86 × 71.86
4. Step 4: Simplify right side
   30.20x = 5,164.27
5. Step 5: Solve for x
   x = 5,164.27/30.20
6. Step 6: Final answer
   x = 170.98