Finding the Third Proportional to 9,137.50 and 18,993.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137.50 : 18,993.25 = 18,993.25 : x
2. Step 2: Convert to fraction form
   9,137.50/18,993.25 = 18,993.25/x
3. Step 3: Cross multiply
   9,137.50x = 18,993.25 × 18,993.25
4. Step 4: Simplify right side
   9,137.50x = 360,743,545.56
5. Step 5: Solve for x
   x = 360,743,545.56/9,137.50
6. Step 6: Final answer
   x = 39,479.46