Finding the Third Proportional to 8,037.75 and 12,288.25

Step by Step Solution

1. Step 1: Write the proportion equation
   8,037.75 : 12,288.25 = 12,288.25 : x
2. Step 2: Convert to fraction form
   8,037.75/12,288.25 = 12,288.25/x
3. Step 3: Cross multiply
   8,037.75x = 12,288.25 × 12,288.25
4. Step 4: Simplify right side
   8,037.75x = 151,001,088.06
5. Step 5: Solve for x
   x = 151,001,088.06/8,037.75
6. Step 6: Final answer
   x = 18,786.49