Finding the Third Proportional to 8,036 and 10,822

Step by Step Solution

1. Step 1: Write the proportion equation
   8,036 : 10,822 = 10,822 : x
2. Step 2: Convert to fraction form
   8,036/10,822 = 10,822/x
3. Step 3: Cross multiply
   8,036x = 10,822 × 10,822
4. Step 4: Simplify right side
   8,036x = 117,115,684
5. Step 5: Solve for x
   x = 117,115,684/8,036
6. Step 6: Final answer
   x = 14,573.88