Finding the Third Proportional to 6,464.50 and 10,008.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464.50 : 10,008.75 = 10,008.75 : x
2. Step 2: Convert to fraction form
   6,464.50/10,008.75 = 10,008.75/x
3. Step 3: Cross multiply
   6,464.50x = 10,008.75 × 10,008.75
4. Step 4: Simplify right side
   6,464.50x = 100,175,076.56
5. Step 5: Solve for x
   x = 100,175,076.56/6,464.50
6. Step 6: Final answer
   x = 15,496.18