Finding the Third Proportional to 2,516 and 3,884

Step by Step Solution

1. Step 1: Write the proportion equation
   2,516 : 3,884 = 3,884 : x
2. Step 2: Convert to fraction form
   2,516/3,884 = 3,884/x
3. Step 3: Cross multiply
   2,516x = 3,884 × 3,884
4. Step 4: Simplify right side
   2,516x = 15,085,456
5. Step 5: Solve for x
   x = 15,085,456/2,516
6. Step 6: Final answer
   x = 5,995.81