Finding the Third Proportional to 4,207.50 and 5,581.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,207.50 : 5,581.69 = 5,581.69 : x
2. Step 2: Convert to fraction form
   4,207.50/5,581.69 = 5,581.69/x
3. Step 3: Cross multiply
   4,207.50x = 5,581.69 × 5,581.69
4. Step 4: Simplify right side
   4,207.50x = 31,155,235.35
5. Step 5: Solve for x
   x = 31,155,235.35/4,207.50
6. Step 6: Final answer
   x = 7,404.69