Finding the Third Proportional to 3,580 and 5,372

Step by Step Solution

1. Step 1: Write the proportion equation
   3,580 : 5,372 = 5,372 : x
2. Step 2: Convert to fraction form
   3,580/5,372 = 5,372/x
3. Step 3: Cross multiply
   3,580x = 5,372 × 5,372
4. Step 4: Simplify right side
   3,580x = 28,858,384
5. Step 5: Solve for x
   x = 28,858,384/3,580
6. Step 6: Final answer
   x = 8,061.00