Finding the Third Proportional to 31.80 and 50.55

Step by Step Solution

1. Step 1: Write the proportion equation
   31.80 : 50.55 = 50.55 : x
2. Step 2: Convert to fraction form
   31.80/50.55 = 50.55/x
3. Step 3: Cross multiply
   31.80x = 50.55 × 50.55
4. Step 4: Simplify right side
   31.80x = 2,554.89
5. Step 5: Solve for x
   x = 2,554.89/31.80
6. Step 6: Final answer
   x = 80.35