Finding the Third Proportional to 2,618.37 and 5,698.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,618.37 : 5,698.48 = 5,698.48 : x
2. Step 2: Convert to fraction form
   2,618.37/5,698.48 = 5,698.48/x
3. Step 3: Cross multiply
   2,618.37x = 5,698.48 × 5,698.48
4. Step 4: Simplify right side
   2,618.37x = 32,472,635.13
5. Step 5: Solve for x
   x = 32,472,635.13/2,618.37
6. Step 6: Final answer
   x = 12,401.86