Finding the Third Proportional to 7,728 and 16,003.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,728 : 16,003.50 = 16,003.50 : x
2. Step 2: Convert to fraction form
   7,728/16,003.50 = 16,003.50/x
3. Step 3: Cross multiply
   7,728x = 16,003.50 × 16,003.50
4. Step 4: Simplify right side
   7,728x = 256,112,012.25
5. Step 5: Solve for x
   x = 256,112,012.25/7,728
6. Step 6: Final answer
   x = 33,140.79