Finding the Third Proportional to 8,589 and 13,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,589 : 13,002.75 = 13,002.75 : x
2. Step 2: Convert to fraction form
   8,589/13,002.75 = 13,002.75/x
3. Step 3: Cross multiply
   8,589x = 13,002.75 × 13,002.75
4. Step 4: Simplify right side
   8,589x = 169,071,507.56
5. Step 5: Solve for x
   x = 169,071,507.56/8,589
6. Step 6: Final answer
   x = 19,684.66