Finding the Third Proportional to 2,698.50 and 4,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698.50 : 4,057.50 = 4,057.50 : x
2. Step 2: Convert to fraction form
   2,698.50/4,057.50 = 4,057.50/x
3. Step 3: Cross multiply
   2,698.50x = 4,057.50 × 4,057.50
4. Step 4: Simplify right side
   2,698.50x = 16,463,306.25
5. Step 5: Solve for x
   x = 16,463,306.25/2,698.50
6. Step 6: Final answer
   x = 6,100.91