Finding the Third Proportional to 2,096 and 2,736

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 2,736 = 2,736 : x
2. Step 2: Convert to fraction form
   2,096/2,736 = 2,736/x
3. Step 3: Cross multiply
   2,096x = 2,736 × 2,736
4. Step 4: Simplify right side
   2,096x = 7,485,696
5. Step 5: Solve for x
   x = 7,485,696/2,096
6. Step 6: Final answer
   x = 3,571.42