Finding the Third Proportional to 31.50 and 84.56

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 84.56 = 84.56 : x
2. Step 2: Convert to fraction form
   31.50/84.56 = 84.56/x
3. Step 3: Cross multiply
   31.50x = 84.56 × 84.56
4. Step 4: Simplify right side
   31.50x = 7,150.82
5. Step 5: Solve for x
   x = 7,150.82/31.50
6. Step 6: Final answer
   x = 227.01