Finding the Third Proportional to 13,728 and 20,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,728 : 20,557.50 = 20,557.50 : x
2. Step 2: Convert to fraction form
   13,728/20,557.50 = 20,557.50/x
3. Step 3: Cross multiply
   13,728x = 20,557.50 × 20,557.50
4. Step 4: Simplify right side
   13,728x = 422,610,806.25
5. Step 5: Solve for x
   x = 422,610,806.25/13,728
6. Step 6: Final answer
   x = 30,784.59