Finding the Third Proportional to 6,469 and 10,259.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,469 : 10,259.50 = 10,259.50 : x
2. Step 2: Convert to fraction form
   6,469/10,259.50 = 10,259.50/x
3. Step 3: Cross multiply
   6,469x = 10,259.50 × 10,259.50
4. Step 4: Simplify right side
   6,469x = 105,257,340.25
5. Step 5: Solve for x
   x = 105,257,340.25/6,469
6. Step 6: Final answer
   x = 16,271.04