Finding the Third Proportional to 1,744.92 and 2,698.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.92 : 2,698.38 = 2,698.38 : x
2. Step 2: Convert to fraction form
   1,744.92/2,698.38 = 2,698.38/x
3. Step 3: Cross multiply
   1,744.92x = 2,698.38 × 2,698.38
4. Step 4: Simplify right side
   1,744.92x = 7,281,269.80
5. Step 5: Solve for x
   x = 7,281,269.80/1,744.92
6. Step 6: Final answer
   x = 4,172.83