Finding the Third Proportional to 7,728 and 12,442.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,728 : 12,442.50 = 12,442.50 : x
2. Step 2: Convert to fraction form
   7,728/12,442.50 = 12,442.50/x
3. Step 3: Cross multiply
   7,728x = 12,442.50 × 12,442.50
4. Step 4: Simplify right side
   7,728x = 154,815,806.25
5. Step 5: Solve for x
   x = 154,815,806.25/7,728
6. Step 6: Final answer
   x = 20,033.10