Finding the Third Proportional to 6,596 and 10,216

Step by Step Solution

1. Step 1: Write the proportion equation
   6,596 : 10,216 = 10,216 : x
2. Step 2: Convert to fraction form
   6,596/10,216 = 10,216/x
3. Step 3: Cross multiply
   6,596x = 10,216 × 10,216
4. Step 4: Simplify right side
   6,596x = 104,366,656
5. Step 5: Solve for x
   x = 104,366,656/6,596
6. Step 6: Final answer
   x = 15,822.72