Finding the Third Proportional to 8,022 and 10,515

Step by Step Solution

1. Step 1: Write the proportion equation
   8,022 : 10,515 = 10,515 : x
2. Step 2: Convert to fraction form
   8,022/10,515 = 10,515/x
3. Step 3: Cross multiply
   8,022x = 10,515 × 10,515
4. Step 4: Simplify right side
   8,022x = 110,565,225
5. Step 5: Solve for x
   x = 110,565,225/8,022
6. Step 6: Final answer
   x = 13,782.75