Finding the Third Proportional to 20,228 and 31,662

Step by Step Solution

1. Step 1: Write the proportion equation
   20,228 : 31,662 = 31,662 : x
2. Step 2: Convert to fraction form
   20,228/31,662 = 31,662/x
3. Step 3: Cross multiply
   20,228x = 31,662 × 31,662
4. Step 4: Simplify right side
   20,228x = 1,002,482,244
5. Step 5: Solve for x
   x = 1,002,482,244/20,228
6. Step 6: Final answer
   x = 49,559.14