Finding the Third Proportional to 1,018.50 and 2,098

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.50 : 2,098 = 2,098 : x
2. Step 2: Convert to fraction form
   1,018.50/2,098 = 2,098/x
3. Step 3: Cross multiply
   1,018.50x = 2,098 × 2,098
4. Step 4: Simplify right side
   1,018.50x = 4,401,604
5. Step 5: Solve for x
   x = 4,401,604/1,018.50
6. Step 6: Final answer
   x = 4,321.65