Finding the Third Proportional to 5,826 and 10,308

Step by Step Solution

1. Step 1: Write the proportion equation
   5,826 : 10,308 = 10,308 : x
2. Step 2: Convert to fraction form
   5,826/10,308 = 10,308/x
3. Step 3: Cross multiply
   5,826x = 10,308 × 10,308
4. Step 4: Simplify right side
   5,826x = 106,254,864
5. Step 5: Solve for x
   x = 106,254,864/5,826
6. Step 6: Final answer
   x = 18,238.05