Finding the Third Proportional to 11,360 and 23,744

Step by Step Solution

1. Step 1: Write the proportion equation
   11,360 : 23,744 = 23,744 : x
2. Step 2: Convert to fraction form
   11,360/23,744 = 23,744/x
3. Step 3: Cross multiply
   11,360x = 23,744 × 23,744
4. Step 4: Simplify right side
   11,360x = 563,777,536
5. Step 5: Solve for x
   x = 563,777,536/11,360
6. Step 6: Final answer
   x = 49,628.30