Finding the Third Proportional to 8,838 and 18,589.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,838 : 18,589.50 = 18,589.50 : x
2. Step 2: Convert to fraction form
   8,838/18,589.50 = 18,589.50/x
3. Step 3: Cross multiply
   8,838x = 18,589.50 × 18,589.50
4. Step 4: Simplify right side
   8,838x = 345,569,510.25
5. Step 5: Solve for x
   x = 345,569,510.25/8,838
6. Step 6: Final answer
   x = 39,100.42