Finding the Third Proportional to 5,649 and 10,596

Step by Step Solution

1. Step 1: Write the proportion equation
   5,649 : 10,596 = 10,596 : x
2. Step 2: Convert to fraction form
   5,649/10,596 = 10,596/x
3. Step 3: Cross multiply
   5,649x = 10,596 × 10,596
4. Step 4: Simplify right side
   5,649x = 112,275,216
5. Step 5: Solve for x
   x = 112,275,216/5,649
6. Step 6: Final answer
   x = 19,875.24