Finding the Third Proportional to 20,384 and 31,504

Step by Step Solution

1. Step 1: Write the proportion equation
   20,384 : 31,504 = 31,504 : x
2. Step 2: Convert to fraction form
   20,384/31,504 = 31,504/x
3. Step 3: Cross multiply
   20,384x = 31,504 × 31,504
4. Step 4: Simplify right side
   20,384x = 992,502,016
5. Step 5: Solve for x
   x = 992,502,016/20,384
6. Step 6: Final answer
   x = 48,690.25