Finding the Third Proportional to 8,005.50 and 12,255.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,005.50 : 12,255.75 = 12,255.75 : x
2. Step 2: Convert to fraction form
   8,005.50/12,255.75 = 12,255.75/x
3. Step 3: Cross multiply
   8,005.50x = 12,255.75 × 12,255.75
4. Step 4: Simplify right side
   8,005.50x = 150,203,408.06
5. Step 5: Solve for x
   x = 150,203,408.06/8,005.50
6. Step 6: Final answer
   x = 18,762.53