Finding the Third Proportional to 16,928 and 25,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,928 : 25,769.50 = 25,769.50 : x
2. Step 2: Convert to fraction form
   16,928/25,769.50 = 25,769.50/x
3. Step 3: Cross multiply
   16,928x = 25,769.50 × 25,769.50
4. Step 4: Simplify right side
   16,928x = 664,067,130.25
5. Step 5: Solve for x
   x = 664,067,130.25/16,928
6. Step 6: Final answer
   x = 39,228.92