Finding the Third Proportional to 20,256 and 30,662

Step by Step Solution

1. Step 1: Write the proportion equation
   20,256 : 30,662 = 30,662 : x
2. Step 2: Convert to fraction form
   20,256/30,662 = 30,662/x
3. Step 3: Cross multiply
   20,256x = 30,662 × 30,662
4. Step 4: Simplify right side
   20,256x = 940,158,244
5. Step 5: Solve for x
   x = 940,158,244/20,256
6. Step 6: Final answer
   x = 46,413.82