Finding the Third Proportional to 5,684.50 and 12,098

Step by Step Solution

1. Step 1: Write the proportion equation
   5,684.50 : 12,098 = 12,098 : x
2. Step 2: Convert to fraction form
   5,684.50/12,098 = 12,098/x
3. Step 3: Cross multiply
   5,684.50x = 12,098 × 12,098
4. Step 4: Simplify right side
   5,684.50x = 146,361,604
5. Step 5: Solve for x
   x = 146,361,604/5,684.50
6. Step 6: Final answer
   x = 25,747.49