Finding the Third Proportional to 4,198.50 and 5,659.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,198.50 : 5,659.88 = 5,659.88 : x
2. Step 2: Convert to fraction form
   4,198.50/5,659.88 = 5,659.88/x
3. Step 3: Cross multiply
   4,198.50x = 5,659.88 × 5,659.88
4. Step 4: Simplify right side
   4,198.50x = 32,034,185.02
5. Step 5: Solve for x
   x = 32,034,185.02/4,198.50
6. Step 6: Final answer
   x = 7,629.91