Finding the Third Proportional to 51.10 and 82.27

Step by Step Solution

1. Step 1: Write the proportion equation
   51.10 : 82.27 = 82.27 : x
2. Step 2: Convert to fraction form
   51.10/82.27 = 82.27/x
3. Step 3: Cross multiply
   51.10x = 82.27 × 82.27
4. Step 4: Simplify right side
   51.10x = 6,767.63
5. Step 5: Solve for x
   x = 6,767.63/51.10
6. Step 6: Final answer
   x = 132.44