Finding the Third Proportional to 3,105.13 and 4,558.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,105.13 : 4,558.69 = 4,558.69 : x
2. Step 2: Convert to fraction form
   3,105.13/4,558.69 = 4,558.69/x
3. Step 3: Cross multiply
   3,105.13x = 4,558.69 × 4,558.69
4. Step 4: Simplify right side
   3,105.13x = 20,781,631.72
5. Step 5: Solve for x
   x = 20,781,631.72/3,105.13
6. Step 6: Final answer
   x = 6,692.69