Finding the Third Proportional to 20,022 and 31,424

Step by Step Solution

1. Step 1: Write the proportion equation
   20,022 : 31,424 = 31,424 : x
2. Step 2: Convert to fraction form
   20,022/31,424 = 31,424/x
3. Step 3: Cross multiply
   20,022x = 31,424 × 31,424
4. Step 4: Simplify right side
   20,022x = 987,467,776
5. Step 5: Solve for x
   x = 987,467,776/20,022
6. Step 6: Final answer
   x = 49,319.14