Finding the Third Proportional to 6,299.25 and 9,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,299.25 : 9,574.50 = 9,574.50 : x
2. Step 2: Convert to fraction form
   6,299.25/9,574.50 = 9,574.50/x
3. Step 3: Cross multiply
   6,299.25x = 9,574.50 × 9,574.50
4. Step 4: Simplify right side
   6,299.25x = 91,671,050.25
5. Step 5: Solve for x
   x = 91,671,050.25/6,299.25
6. Step 6: Final answer
   x = 14,552.69