Finding the Third Proportional to 3,180 and 3,488

Step by Step Solution

1. Step 1: Write the proportion equation
   3,180 : 3,488 = 3,488 : x
2. Step 2: Convert to fraction form
   3,180/3,488 = 3,488/x
3. Step 3: Cross multiply
   3,180x = 3,488 × 3,488
4. Step 4: Simplify right side
   3,180x = 12,166,144
5. Step 5: Solve for x
   x = 12,166,144/3,180
6. Step 6: Final answer
   x = 3,825.83