Finding the Third Proportional to 6,500 and 10,596

Step by Step Solution

1. Step 1: Write the proportion equation
   6,500 : 10,596 = 10,596 : x
2. Step 2: Convert to fraction form
   6,500/10,596 = 10,596/x
3. Step 3: Cross multiply
   6,500x = 10,596 × 10,596
4. Step 4: Simplify right side
   6,500x = 112,275,216
5. Step 5: Solve for x
   x = 112,275,216/6,500
6. Step 6: Final answer
   x = 17,273.11