Finding the Third Proportional to 6,584.25 and 10,464.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,584.25 : 10,464.75 = 10,464.75 : x
2. Step 2: Convert to fraction form
   6,584.25/10,464.75 = 10,464.75/x
3. Step 3: Cross multiply
   6,584.25x = 10,464.75 × 10,464.75
4. Step 4: Simplify right side
   6,584.25x = 109,510,992.56
5. Step 5: Solve for x
   x = 109,510,992.56/6,584.25
6. Step 6: Final answer
   x = 16,632.27