Finding the Third Proportional to 2,824.50 and 6,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,824.50 : 6,443.25 = 6,443.25 : x
2. Step 2: Convert to fraction form
   2,824.50/6,443.25 = 6,443.25/x
3. Step 3: Cross multiply
   2,824.50x = 6,443.25 × 6,443.25
4. Step 4: Simplify right side
   2,824.50x = 41,515,470.56
5. Step 5: Solve for x
   x = 41,515,470.56/2,824.50
6. Step 6: Final answer
   x = 14,698.34