Finding the Third Proportional to 3,595.50 and 5,574.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,595.50 : 5,574.38 = 5,574.38 : x
2. Step 2: Convert to fraction form
   3,595.50/5,574.38 = 5,574.38/x
3. Step 3: Cross multiply
   3,595.50x = 5,574.38 × 5,574.38
4. Step 4: Simplify right side
   3,595.50x = 31,073,656.64
5. Step 5: Solve for x
   x = 31,073,656.64/3,595.50
6. Step 6: Final answer
   x = 8,642.37