Finding the Third Proportional to 8,589 and 18,100.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,589 : 18,100.50 = 18,100.50 : x
2. Step 2: Convert to fraction form
   8,589/18,100.50 = 18,100.50/x
3. Step 3: Cross multiply
   8,589x = 18,100.50 × 18,100.50
4. Step 4: Simplify right side
   8,589x = 327,628,100.25
5. Step 5: Solve for x
   x = 327,628,100.25/8,589
6. Step 6: Final answer
   x = 38,145.08