Finding the Third Proportional to 20,443 and 31,667

Step by Step Solution

1. Step 1: Write the proportion equation
   20,443 : 31,667 = 31,667 : x
2. Step 2: Convert to fraction form
   20,443/31,667 = 31,667/x
3. Step 3: Cross multiply
   20,443x = 31,667 × 31,667
4. Step 4: Simplify right side
   20,443x = 1,002,798,889
5. Step 5: Solve for x
   x = 1,002,798,889/20,443
6. Step 6: Final answer
   x = 49,053.41