Finding the Third Proportional to 9,826 and 15,215

Step by Step Solution

1. Step 1: Write the proportion equation
   9,826 : 15,215 = 15,215 : x
2. Step 2: Convert to fraction form
   9,826/15,215 = 15,215/x
3. Step 3: Cross multiply
   9,826x = 15,215 × 15,215
4. Step 4: Simplify right side
   9,826x = 231,496,225
5. Step 5: Solve for x
   x = 231,496,225/9,826
6. Step 6: Final answer
   x = 23,559.56