Finding the Third Proportional to 10,574 and 23,844

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574 : 23,844 = 23,844 : x
2. Step 2: Convert to fraction form
   10,574/23,844 = 23,844/x
3. Step 3: Cross multiply
   10,574x = 23,844 × 23,844
4. Step 4: Simplify right side
   10,574x = 568,536,336
5. Step 5: Solve for x
   x = 568,536,336/10,574
6. Step 6: Final answer
   x = 53,767.39