Finding the Third Proportional to 6,449 and 10,249.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,449 : 10,249.50 = 10,249.50 : x
2. Step 2: Convert to fraction form
   6,449/10,249.50 = 10,249.50/x
3. Step 3: Cross multiply
   6,449x = 10,249.50 × 10,249.50
4. Step 4: Simplify right side
   6,449x = 105,052,250.25
5. Step 5: Solve for x
   x = 105,052,250.25/6,449
6. Step 6: Final answer
   x = 16,289.70