Finding the Third Proportional to 2,464 and 3,690

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464 : 3,690 = 3,690 : x
2. Step 2: Convert to fraction form
   2,464/3,690 = 3,690/x
3. Step 3: Cross multiply
   2,464x = 3,690 × 3,690
4. Step 4: Simplify right side
   2,464x = 13,616,100
5. Step 5: Solve for x
   x = 13,616,100/2,464
6. Step 6: Final answer
   x = 5,526.01