Finding the Third Proportional to 3,686.69 and 5,530.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686.69 : 5,530.46 = 5,530.46 : x
2. Step 2: Convert to fraction form
   3,686.69/5,530.46 = 5,530.46/x
3. Step 3: Cross multiply
   3,686.69x = 5,530.46 × 5,530.46
4. Step 4: Simplify right side
   3,686.69x = 30,586,041.39
5. Step 5: Solve for x
   x = 30,586,041.39/3,686.69
6. Step 6: Final answer
   x = 8,296.35