Finding the Third Proportional to 20,227 and 31,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,227 : 31,660.50 = 31,660.50 : x
2. Step 2: Convert to fraction form
   20,227/31,660.50 = 31,660.50/x
3. Step 3: Cross multiply
   20,227x = 31,660.50 × 31,660.50
4. Step 4: Simplify right side
   20,227x = 1,002,387,260.25
5. Step 5: Solve for x
   x = 1,002,387,260.25/20,227
6. Step 6: Final answer
   x = 49,556.89