Finding the Third Proportional to 3,097 and 5,822

Step by Step Solution

1. Step 1: Write the proportion equation
   3,097 : 5,822 = 5,822 : x
2. Step 2: Convert to fraction form
   3,097/5,822 = 5,822/x
3. Step 3: Cross multiply
   3,097x = 5,822 × 5,822
4. Step 4: Simplify right side
   3,097x = 33,895,684
5. Step 5: Solve for x
   x = 33,895,684/3,097
6. Step 6: Final answer
   x = 10,944.68