Finding the Third Proportional to 50.69 and 82.09

Step by Step Solution

1. Step 1: Write the proportion equation
   50.69 : 82.09 = 82.09 : x
2. Step 2: Convert to fraction form
   50.69/82.09 = 82.09/x
3. Step 3: Cross multiply
   50.69x = 82.09 × 82.09
4. Step 4: Simplify right side
   50.69x = 6,739.38
5. Step 5: Solve for x
   x = 6,739.38/50.69
6. Step 6: Final answer
   x = 132.96