Finding the Third Proportional to 11,589 and 25,269

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589 : 25,269 = 25,269 : x
2. Step 2: Convert to fraction form
   11,589/25,269 = 25,269/x
3. Step 3: Cross multiply
   11,589x = 25,269 × 25,269
4. Step 4: Simplify right side
   11,589x = 638,522,361
5. Step 5: Solve for x
   x = 638,522,361/11,589
6. Step 6: Final answer
   x = 55,097.28