Finding the Third Proportional to 2,098 and 5,523

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098 : 5,523 = 5,523 : x
2. Step 2: Convert to fraction form
   2,098/5,523 = 5,523/x
3. Step 3: Cross multiply
   2,098x = 5,523 × 5,523
4. Step 4: Simplify right side
   2,098x = 30,503,529
5. Step 5: Solve for x
   x = 30,503,529/2,098
6. Step 6: Final answer
   x = 14,539.34