Finding the Third Proportional to 31.96 and 50.94

Step by Step Solution

1. Step 1: Write the proportion equation
   31.96 : 50.94 = 50.94 : x
2. Step 2: Convert to fraction form
   31.96/50.94 = 50.94/x
3. Step 3: Cross multiply
   31.96x = 50.94 × 50.94
4. Step 4: Simplify right side
   31.96x = 2,595.03
5. Step 5: Solve for x
   x = 2,595.03/31.96
6. Step 6: Final answer
   x = 81.20