Finding the Third Proportional to 3,609.56 and 5,077.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,609.56 : 5,077.69 = 5,077.69 : x
2. Step 2: Convert to fraction form
   3,609.56/5,077.69 = 5,077.69/x
3. Step 3: Cross multiply
   3,609.56x = 5,077.69 × 5,077.69
4. Step 4: Simplify right side
   3,609.56x = 25,782,910.35
5. Step 5: Solve for x
   x = 25,782,910.35/3,609.56
6. Step 6: Final answer
   x = 7,142.95