Finding the Third Proportional to 31.75 and 50.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31.75 : 50.56 = 50.56 : x
2. Step 2: Convert to fraction form
   31.75/50.56 = 50.56/x
3. Step 3: Cross multiply
   31.75x = 50.56 × 50.56
4. Step 4: Simplify right side
   31.75x = 2,556.57
5. Step 5: Solve for x
   x = 2,556.57/31.75
6. Step 6: Final answer
   x = 80.52