Finding the Third Proportional to 2,580 and 3,690

Step by Step Solution

1. Step 1: Write the proportion equation
   2,580 : 3,690 = 3,690 : x
2. Step 2: Convert to fraction form
   2,580/3,690 = 3,690/x
3. Step 3: Cross multiply
   2,580x = 3,690 × 3,690
4. Step 4: Simplify right side
   2,580x = 13,616,100
5. Step 5: Solve for x
   x = 13,616,100/2,580
6. Step 6: Final answer
   x = 5,277.56