Finding the Third Proportional to 9,469 and 13,589

Step by Step Solution

1. Step 1: Write the proportion equation
   9,469 : 13,589 = 13,589 : x
2. Step 2: Convert to fraction form
   9,469/13,589 = 13,589/x
3. Step 3: Cross multiply
   9,469x = 13,589 × 13,589
4. Step 4: Simplify right side
   9,469x = 184,660,921
5. Step 5: Solve for x
   x = 184,660,921/9,469
6. Step 6: Final answer
   x = 19,501.63