Finding the Third Proportional to 6,496.50 and 9,501.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,496.50 : 9,501.50 = 9,501.50 : x
2. Step 2: Convert to fraction form
   6,496.50/9,501.50 = 9,501.50/x
3. Step 3: Cross multiply
   6,496.50x = 9,501.50 × 9,501.50
4. Step 4: Simplify right side
   6,496.50x = 90,278,502.25
5. Step 5: Solve for x
   x = 90,278,502.25/6,496.50
6. Step 6: Final answer
   x = 13,896.48