Finding the Third Proportional to 8,019.50 and 11,786.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,019.50 : 11,786.25 = 11,786.25 : x
2. Step 2: Convert to fraction form
   8,019.50/11,786.25 = 11,786.25/x
3. Step 3: Cross multiply
   8,019.50x = 11,786.25 × 11,786.25
4. Step 4: Simplify right side
   8,019.50x = 138,915,689.06
5. Step 5: Solve for x
   x = 138,915,689.06/8,019.50
6. Step 6: Final answer
   x = 17,322.24