Finding the Third Proportional to 3,849.50 and 5,598.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.50 : 5,598.50 = 5,598.50 : x
2. Step 2: Convert to fraction form
   3,849.50/5,598.50 = 5,598.50/x
3. Step 3: Cross multiply
   3,849.50x = 5,598.50 × 5,598.50
4. Step 4: Simplify right side
   3,849.50x = 31,343,202.25
5. Step 5: Solve for x
   x = 31,343,202.25/3,849.50
6. Step 6: Final answer
   x = 8,142.15