Finding the Third Proportional to 3,530 and 7,774

Step by Step Solution

1. Step 1: Write the proportion equation
   3,530 : 7,774 = 7,774 : x
2. Step 2: Convert to fraction form
   3,530/7,774 = 7,774/x
3. Step 3: Cross multiply
   3,530x = 7,774 × 7,774
4. Step 4: Simplify right side
   3,530x = 60,435,076
5. Step 5: Solve for x
   x = 60,435,076/3,530
6. Step 6: Final answer
   x = 17,120.42