Finding the Third Proportional to 17,589 and 25,914

Step by Step Solution

1. Step 1: Write the proportion equation
   17,589 : 25,914 = 25,914 : x
2. Step 2: Convert to fraction form
   17,589/25,914 = 25,914/x
3. Step 3: Cross multiply
   17,589x = 25,914 × 25,914
4. Step 4: Simplify right side
   17,589x = 671,535,396
5. Step 5: Solve for x
   x = 671,535,396/17,589
6. Step 6: Final answer
   x = 38,179.28