Finding the Third Proportional to 2,096 and 4,895

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096 : 4,895 = 4,895 : x
2. Step 2: Convert to fraction form
   2,096/4,895 = 4,895/x
3. Step 3: Cross multiply
   2,096x = 4,895 × 4,895
4. Step 4: Simplify right side
   2,096x = 23,961,025
5. Step 5: Solve for x
   x = 23,961,025/2,096
6. Step 6: Final answer
   x = 11,431.79