Finding the Third Proportional to 11,727 and 20,856

Step by Step Solution

1. Step 1: Write the proportion equation
   11,727 : 20,856 = 20,856 : x
2. Step 2: Convert to fraction form
   11,727/20,856 = 20,856/x
3. Step 3: Cross multiply
   11,727x = 20,856 × 20,856
4. Step 4: Simplify right side
   11,727x = 434,972,736
5. Step 5: Solve for x
   x = 434,972,736/11,727
6. Step 6: Final answer
   x = 37,091.56