Finding the Third Proportional to 3,695.63 and 4,105.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,695.63 : 4,105.69 = 4,105.69 : x
2. Step 2: Convert to fraction form
   3,695.63/4,105.69 = 4,105.69/x
3. Step 3: Cross multiply
   3,695.63x = 4,105.69 × 4,105.69
4. Step 4: Simplify right side
   3,695.63x = 16,856,669.85
5. Step 5: Solve for x
   x = 16,856,669.85/3,695.63
6. Step 6: Final answer
   x = 4,561.25