Finding the Third Proportional to 15,338 and 33,096

Step by Step Solution

1. Step 1: Write the proportion equation
   15,338 : 33,096 = 33,096 : x
2. Step 2: Convert to fraction form
   15,338/33,096 = 33,096/x
3. Step 3: Cross multiply
   15,338x = 33,096 × 33,096
4. Step 4: Simplify right side
   15,338x = 1,095,345,216
5. Step 5: Solve for x
   x = 1,095,345,216/15,338
6. Step 6: Final answer
   x = 71,413.82