Finding the Third Proportional to 20,022 and 31,407

Step by Step Solution

1. Step 1: Write the proportion equation
   20,022 : 31,407 = 31,407 : x
2. Step 2: Convert to fraction form
   20,022/31,407 = 31,407/x
3. Step 3: Cross multiply
   20,022x = 31,407 × 31,407
4. Step 4: Simplify right side
   20,022x = 986,399,649
5. Step 5: Solve for x
   x = 986,399,649/20,022
6. Step 6: Final answer
   x = 49,265.79