Finding the Third Proportional to 2,684 and 5,098

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684 : 5,098 = 5,098 : x
2. Step 2: Convert to fraction form
   2,684/5,098 = 5,098/x
3. Step 3: Cross multiply
   2,684x = 5,098 × 5,098
4. Step 4: Simplify right side
   2,684x = 25,989,604
5. Step 5: Solve for x
   x = 25,989,604/2,684
6. Step 6: Final answer
   x = 9,683.16