Finding the Third Proportional to 11,200 and 23,816

Step by Step Solution

1. Step 1: Write the proportion equation
   11,200 : 23,816 = 23,816 : x
2. Step 2: Convert to fraction form
   11,200/23,816 = 23,816/x
3. Step 3: Cross multiply
   11,200x = 23,816 × 23,816
4. Step 4: Simplify right side
   11,200x = 567,201,856
5. Step 5: Solve for x
   x = 567,201,856/11,200
6. Step 6: Final answer
   x = 50,643.02