Finding the Third Proportional to 11,400 and 23,844

Step by Step Solution

1. Step 1: Write the proportion equation
   11,400 : 23,844 = 23,844 : x
2. Step 2: Convert to fraction form
   11,400/23,844 = 23,844/x
3. Step 3: Cross multiply
   11,400x = 23,844 × 23,844
4. Step 4: Simplify right side
   11,400x = 568,536,336
5. Step 5: Solve for x
   x = 568,536,336/11,400
6. Step 6: Final answer
   x = 49,871.61