Finding the Third Proportional to 5,826 and 10,302

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 10,302 = 10,302 : x
2. Step 2: Convert to fraction form
   5,826/10,302 = 10,302/x
3. Step 3: Cross multiply
   5,826x = 10,302 × 10,302
4. Step 4: Simplify right side
   5,826x = 106,131,204
5. Step 5: Solve for x
   x = 106,131,204/5,826
6. Step 6: Final answer
   x = 18,216.82