Finding the Third Proportional to 3,522 and 3,822

Step by Step Solution

1. Step 1: Write the proportion equation
   3,522 : 3,822 = 3,822 : x
2. Step 2: Convert to fraction form
   3,522/3,822 = 3,822/x
3. Step 3: Cross multiply
   3,522x = 3,822 × 3,822
4. Step 4: Simplify right side
   3,522x = 14,607,684
5. Step 5: Solve for x
   x = 14,607,684/3,522
6. Step 6: Final answer
   x = 4,147.55