Finding the Third Proportional to 4,105.69 and 4,560.05

Step by Step Solution

1. Step 1: Write the proportion equation
   4,105.69 : 4,560.05 = 4,560.05 : x
2. Step 2: Convert to fraction form
   4,105.69/4,560.05 = 4,560.05/x
3. Step 3: Cross multiply
   4,105.69x = 4,560.05 × 4,560.05
4. Step 4: Simplify right side
   4,105.69x = 20,794,027.50
5. Step 5: Solve for x
   x = 20,794,027.50/4,105.69
6. Step 6: Final answer
   x = 5,064.69