Finding the Third Proportional to 7,728 and 10,903.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,728 : 10,903.50 = 10,903.50 : x
2. Step 2: Convert to fraction form
   7,728/10,903.50 = 10,903.50/x
3. Step 3: Cross multiply
   7,728x = 10,903.50 × 10,903.50
4. Step 4: Simplify right side
   7,728x = 118,886,312.25
5. Step 5: Solve for x
   x = 118,886,312.25/7,728
6. Step 6: Final answer
   x = 15,383.84