Finding the Third Proportional to 8,022 and 13,284

Step by Step Solution

1. Step 1: Write the proportion equation
   8,022 : 13,284 = 13,284 : x
2. Step 2: Convert to fraction form
   8,022/13,284 = 13,284/x
3. Step 3: Cross multiply
   8,022x = 13,284 × 13,284
4. Step 4: Simplify right side
   8,022x = 176,464,656
5. Step 5: Solve for x
   x = 176,464,656/8,022
6. Step 6: Final answer
   x = 21,997.59