Finding the Third Proportional to 50.69 and 106.81

Step by Step Solution

1. Step 1: Write the proportion equation
   50.69 : 106.81 = 106.81 : x
2. Step 2: Convert to fraction form
   50.69/106.81 = 106.81/x
3. Step 3: Cross multiply
   50.69x = 106.81 × 106.81
4. Step 4: Simplify right side
   50.69x = 11,408.91
5. Step 5: Solve for x
   x = 11,408.91/50.69
6. Step 6: Final answer
   x = 225.08