Finding the Third Proportional to 10,928 and 16,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,928 : 16,446.50 = 16,446.50 : x
2. Step 2: Convert to fraction form
   10,928/16,446.50 = 16,446.50/x
3. Step 3: Cross multiply
   10,928x = 16,446.50 × 16,446.50
4. Step 4: Simplify right side
   10,928x = 270,487,362.25
5. Step 5: Solve for x
   x = 270,487,362.25/10,928
6. Step 6: Final answer
   x = 24,751.77