Finding the Third Proportional to 3,906.56 and 5,502.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,906.56 : 5,502.94 = 5,502.94 : x
2. Step 2: Convert to fraction form
   3,906.56/5,502.94 = 5,502.94/x
3. Step 3: Cross multiply
   3,906.56x = 5,502.94 × 5,502.94
4. Step 4: Simplify right side
   3,906.56x = 30,282,321.13
5. Step 5: Solve for x
   x = 30,282,321.13/3,906.56
6. Step 6: Final answer
   x = 7,751.65