Finding the Third Proportional to 11,589 and 25,356

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589 : 25,356 = 25,356 : x
2. Step 2: Convert to fraction form
   11,589/25,356 = 25,356/x
3. Step 3: Cross multiply
   11,589x = 25,356 × 25,356
4. Step 4: Simplify right side
   11,589x = 642,926,736
5. Step 5: Solve for x
   x = 642,926,736/11,589
6. Step 6: Final answer
   x = 55,477.33