Finding the Third Proportional to 8,389.50 and 18,082.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,389.50 : 18,082.50 = 18,082.50 : x
2. Step 2: Convert to fraction form
   8,389.50/18,082.50 = 18,082.50/x
3. Step 3: Cross multiply
   8,389.50x = 18,082.50 × 18,082.50
4. Step 4: Simplify right side
   8,389.50x = 326,976,806.25
5. Step 5: Solve for x
   x = 326,976,806.25/8,389.50
6. Step 6: Final answer
   x = 38,974.53