Finding the Third Proportional to 20,474 and 31,821

Step by Step Solution

1. Step 1: Write the proportion equation
   20,474 : 31,821 = 31,821 : x
2. Step 2: Convert to fraction form
   20,474/31,821 = 31,821/x
3. Step 3: Cross multiply
   20,474x = 31,821 × 31,821
4. Step 4: Simplify right side
   20,474x = 1,012,576,041
5. Step 5: Solve for x
   x = 1,012,576,041/20,474
6. Step 6: Final answer
   x = 49,456.68