Finding the Third Proportional to 31.50 and 83.81

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 83.81 = 83.81 : x
2. Step 2: Convert to fraction form
   31.50/83.81 = 83.81/x
3. Step 3: Cross multiply
   31.50x = 83.81 × 83.81
4. Step 4: Simplify right side
   31.50x = 7,024.54
5. Step 5: Solve for x
   x = 7,024.54/31.50
6. Step 6: Final answer
   x = 223.00