Finding the Third Proportional to 6,464 and 10,328

Step by Step Solution

1. Step 1: Write the proportion equation
   6,464 : 10,328 = 10,328 : x
2. Step 2: Convert to fraction form
   6,464/10,328 = 10,328/x
3. Step 3: Cross multiply
   6,464x = 10,328 × 10,328
4. Step 4: Simplify right side
   6,464x = 106,667,584
5. Step 5: Solve for x
   x = 106,667,584/6,464
6. Step 6: Final answer
   x = 16,501.79