Finding the Third Proportional to 11,509 and 23,836

Step by Step Solution

1. Step 1: Write the proportion equation
   11,509 : 23,836 = 23,836 : x
2. Step 2: Convert to fraction form
   11,509/23,836 = 23,836/x
3. Step 3: Cross multiply
   11,509x = 23,836 × 23,836
4. Step 4: Simplify right side
   11,509x = 568,154,896
5. Step 5: Solve for x
   x = 568,154,896/11,509
6. Step 6: Final answer
   x = 49,366.14