Finding the Third Proportional to 675.98 and 1,498.78

Step by Step Solution

1. Step 1: Write the proportion equation
   675.98 : 1,498.78 = 1,498.78 : x
2. Step 2: Convert to fraction form
   675.98/1,498.78 = 1,498.78/x
3. Step 3: Cross multiply
   675.98x = 1,498.78 × 1,498.78
4. Step 4: Simplify right side
   675.98x = 2,246,345.24
5. Step 5: Solve for x
   x = 2,246,345.24/675.98
6. Step 6: Final answer
   x = 3,323.07