Finding the Third Proportional to 31.50 and 51.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 51.56 = 51.56 : x
2. Step 2: Convert to fraction form
   31.50/51.56 = 51.56/x
3. Step 3: Cross multiply
   31.50x = 51.56 × 51.56
4. Step 4: Simplify right side
   31.50x = 2,658.69
5. Step 5: Solve for x
   x = 2,658.69/31.50
6. Step 6: Final answer
   x = 84.40