Finding the Third Proportional to 2,096 and 3,684

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 3,684 = 3,684 : x
2. Step 2: Convert to fraction form
   2,096/3,684 = 3,684/x
3. Step 3: Cross multiply
   2,096x = 3,684 × 3,684
4. Step 4: Simplify right side
   2,096x = 13,571,856
5. Step 5: Solve for x
   x = 13,571,856/2,096
6. Step 6: Final answer
   x = 6,475.12