Finding the Third Proportional to 5,648 and 10,684

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 10,684 = 10,684 : x
2. Step 2: Convert to fraction form
   5,648/10,684 = 10,684/x
3. Step 3: Cross multiply
   5,648x = 10,684 × 10,684
4. Step 4: Simplify right side
   5,648x = 114,147,856
5. Step 5: Solve for x
   x = 114,147,856/5,648
6. Step 6: Final answer
   x = 20,210.31