Finding the Third Proportional to 3,658.50 and 5,350.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,658.50 : 5,350.75 = 5,350.75 : x
2. Step 2: Convert to fraction form
   3,658.50/5,350.75 = 5,350.75/x
3. Step 3: Cross multiply
   3,658.50x = 5,350.75 × 5,350.75
4. Step 4: Simplify right side
   3,658.50x = 28,630,525.56
5. Step 5: Solve for x
   x = 28,630,525.56/3,658.50
6. Step 6: Final answer
   x = 7,825.76