Finding the Third Proportional to 20,227.50 and 31,664.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,227.50 : 31,664.25 = 31,664.25 : x
2. Step 2: Convert to fraction form
   20,227.50/31,664.25 = 31,664.25/x
3. Step 3: Cross multiply
   20,227.50x = 31,664.25 × 31,664.25
4. Step 4: Simplify right side
   20,227.50x = 1,002,624,728.06
5. Step 5: Solve for x
   x = 1,002,624,728.06/20,227.50
6. Step 6: Final answer
   x = 49,567.41