Finding the Third Proportional to 20,338 and 30,724

Step by Step Solution

1. Step 1: Write the proportion equation
   20,338 : 30,724 = 30,724 : x
2. Step 2: Convert to fraction form
   20,338/30,724 = 30,724/x
3. Step 3: Cross multiply
   20,338x = 30,724 × 30,724
4. Step 4: Simplify right side
   20,338x = 943,964,176
5. Step 5: Solve for x
   x = 943,964,176/20,338
6. Step 6: Final answer
   x = 46,413.82