Finding the Third Proportional to 2,096 and 4,084

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 4,084 = 4,084 : x
2. Step 2: Convert to fraction form
   2,096/4,084 = 4,084/x
3. Step 3: Cross multiply
   2,096x = 4,084 × 4,084
4. Step 4: Simplify right side
   2,096x = 16,679,056
5. Step 5: Solve for x
   x = 16,679,056/2,096
6. Step 6: Final answer
   x = 7,957.56