Finding the Third Proportional to 16,096 and 33,920

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 33,920 = 33,920 : x
2. Step 2: Convert to fraction form
   16,096/33,920 = 33,920/x
3. Step 3: Cross multiply
   16,096x = 33,920 × 33,920
4. Step 4: Simplify right side
   16,096x = 1,150,566,400
5. Step 5: Solve for x
   x = 1,150,566,400/16,096
6. Step 6: Final answer
   x = 71,481.51