Finding the Third Proportional to 23,648 and 49,744

Step by Step Solution

1. Step 1: Write the proportion equation
   23,648 : 49,744 = 49,744 : x
2. Step 2: Convert to fraction form
   23,648/49,744 = 49,744/x
3. Step 3: Cross multiply
   23,648x = 49,744 × 49,744
4. Step 4: Simplify right side
   23,648x = 2,474,465,536
5. Step 5: Solve for x
   x = 2,474,465,536/23,648
6. Step 6: Final answer
   x = 104,637.41