Finding the Third Proportional to 20,744 and 31,884

Step by Step Solution

1. Step 1: Write the proportion equation
   20,744 : 31,884 = 31,884 : x
2. Step 2: Convert to fraction form
   20,744/31,884 = 31,884/x
3. Step 3: Cross multiply
   20,744x = 31,884 × 31,884
4. Step 4: Simplify right side
   20,744x = 1,016,589,456
5. Step 5: Solve for x
   x = 1,016,589,456/20,744
6. Step 6: Final answer
   x = 49,006.43