Finding the Third Proportional to 10,280 and 16,684

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280 : 16,684 = 16,684 : x
2. Step 2: Convert to fraction form
   10,280/16,684 = 16,684/x
3. Step 3: Cross multiply
   10,280x = 16,684 × 16,684
4. Step 4: Simplify right side
   10,280x = 278,355,856
5. Step 5: Solve for x
   x = 278,355,856/10,280
6. Step 6: Final answer
   x = 27,077.42