Finding the Third Proportional to 2,106 and 3,098

Step by Step Solution

1. Step 1: Write the proportion equation
   2,106 : 3,098 = 3,098 : x
2. Step 2: Convert to fraction form
   2,106/3,098 = 3,098/x
3. Step 3: Cross multiply
   2,106x = 3,098 × 3,098
4. Step 4: Simplify right side
   2,106x = 9,597,604
5. Step 5: Solve for x
   x = 9,597,604/2,106
6. Step 6: Final answer
   x = 4,557.27