Finding the Third Proportional to 5,836 and 10,822

Step by Step Solution

1. Step 1: Write the proportion equation
   5,836 : 10,822 = 10,822 : x
2. Step 2: Convert to fraction form
   5,836/10,822 = 10,822/x
3. Step 3: Cross multiply
   5,836x = 10,822 × 10,822
4. Step 4: Simplify right side
   5,836x = 117,115,684
5. Step 5: Solve for x
   x = 117,115,684/5,836
6. Step 6: Final answer
   x = 20,067.80