Finding the Third Proportional to 2,098 and 5,389

Step by Step Solution

1. Step 1: Write the proportion equation
   2,098 : 5,389 = 5,389 : x
2. Step 2: Convert to fraction form
   2,098/5,389 = 5,389/x
3. Step 3: Cross multiply
   2,098x = 5,389 × 5,389
4. Step 4: Simplify right side
   2,098x = 29,041,321
5. Step 5: Solve for x
   x = 29,041,321/2,098
6. Step 6: Final answer
   x = 13,842.38