Finding the Third Proportional to 11,589 and 21,423

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589 : 21,423 = 21,423 : x
2. Step 2: Convert to fraction form
   11,589/21,423 = 21,423/x
3. Step 3: Cross multiply
   11,589x = 21,423 × 21,423
4. Step 4: Simplify right side
   11,589x = 458,944,929
5. Step 5: Solve for x
   x = 458,944,929/11,589
6. Step 6: Final answer
   x = 39,601.77