Finding the Third Proportional to 6,443 and 10,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,443 : 10,464.50 = 10,464.50 : x
2. Step 2: Convert to fraction form
   6,443/10,464.50 = 10,464.50/x
3. Step 3: Cross multiply
   6,443x = 10,464.50 × 10,464.50
4. Step 4: Simplify right side
   6,443x = 109,505,760.25
5. Step 5: Solve for x
   x = 109,505,760.25/6,443
6. Step 6: Final answer
   x = 16,996.08