Finding the Third Proportional to 23,096 and 49,878

Step by Step Solution

1. Step 1: Write the proportion equation
   23,096 : 49,878 = 49,878 : x
2. Step 2: Convert to fraction form
   23,096/49,878 = 49,878/x
3. Step 3: Cross multiply
   23,096x = 49,878 × 49,878
4. Step 4: Simplify right side
   23,096x = 2,487,814,884
5. Step 5: Solve for x
   x = 2,487,814,884/23,096
6. Step 6: Final answer
   x = 107,716.27