Finding the Third Proportional to 16,228 and 33,689

Step by Step Solution

1. Step 1: Write the proportion equation
   16,228 : 33,689 = 33,689 : x
2. Step 2: Convert to fraction form
   16,228/33,689 = 33,689/x
3. Step 3: Cross multiply
   16,228x = 33,689 × 33,689
4. Step 4: Simplify right side
   16,228x = 1,134,948,721
5. Step 5: Solve for x
   x = 1,134,948,721/16,228
6. Step 6: Final answer
   x = 69,937.68