Finding the Third Proportional to 10,684 and 16,216

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684 : 16,216 = 16,216 : x
2. Step 2: Convert to fraction form
   10,684/16,216 = 16,216/x
3. Step 3: Cross multiply
   10,684x = 16,216 × 16,216
4. Step 4: Simplify right side
   10,684x = 262,958,656
5. Step 5: Solve for x
   x = 262,958,656/10,684
6. Step 6: Final answer
   x = 24,612.38