Finding the Third Proportional to 2,096 and 4,944

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 4,944 = 4,944 : x
2. Step 2: Convert to fraction form
   2,096/4,944 = 4,944/x
3. Step 3: Cross multiply
   2,096x = 4,944 × 4,944
4. Step 4: Simplify right side
   2,096x = 24,443,136
5. Step 5: Solve for x
   x = 24,443,136/2,096
6. Step 6: Final answer
   x = 11,661.80