Finding the Third Proportional to 8,589 and 13,063.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,589 : 13,063.50 = 13,063.50 : x
2. Step 2: Convert to fraction form
   8,589/13,063.50 = 13,063.50/x
3. Step 3: Cross multiply
   8,589x = 13,063.50 × 13,063.50
4. Step 4: Simplify right side
   8,589x = 170,655,032.25
5. Step 5: Solve for x
   x = 170,655,032.25/8,589
6. Step 6: Final answer
   x = 19,869.02