Finding the Third Proportional to 11,086 and 23,609

Step by Step Solution

1. Step 1: Write the proportion equation
   11,086 : 23,609 = 23,609 : x
2. Step 2: Convert to fraction form
   11,086/23,609 = 23,609/x
3. Step 3: Cross multiply
   11,086x = 23,609 × 23,609
4. Step 4: Simplify right side
   11,086x = 557,384,881
5. Step 5: Solve for x
   x = 557,384,881/11,086
6. Step 6: Final answer
   x = 50,278.27