Finding the Third Proportional to 3,836 and 5,570

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836 : 5,570 = 5,570 : x
2. Step 2: Convert to fraction form
   3,836/5,570 = 5,570/x
3. Step 3: Cross multiply
   3,836x = 5,570 × 5,570
4. Step 4: Simplify right side
   3,836x = 31,024,900
5. Step 5: Solve for x
   x = 31,024,900/3,836
6. Step 6: Final answer
   x = 8,087.83