Finding the Third Proportional to 16,109 and 22,684

Step by Step Solution

1. Step 1: Write the proportion equation
   16,109 : 22,684 = 22,684 : x
2. Step 2: Convert to fraction form
   16,109/22,684 = 22,684/x
3. Step 3: Cross multiply
   16,109x = 22,684 × 22,684
4. Step 4: Simplify right side
   16,109x = 514,563,856
5. Step 5: Solve for x
   x = 514,563,856/16,109
6. Step 6: Final answer
   x = 31,942.63