Finding the Third Proportional to 3,580 and 5,726

Step by Step Solution

1. Step 1: Write the proportion equation
   3,580 : 5,726 = 5,726 : x
2. Step 2: Convert to fraction form
   3,580/5,726 = 5,726/x
3. Step 3: Cross multiply
   3,580x = 5,726 × 5,726
4. Step 4: Simplify right side
   3,580x = 32,787,076
5. Step 5: Solve for x
   x = 32,787,076/3,580
6. Step 6: Final answer
   x = 9,158.40