Finding the Third Proportional to 3,205.83 and 4,796.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,205.83 : 4,796.72 = 4,796.72 : x
2. Step 2: Convert to fraction form
   3,205.83/4,796.72 = 4,796.72/x
3. Step 3: Cross multiply
   3,205.83x = 4,796.72 × 4,796.72
4. Step 4: Simplify right side
   3,205.83x = 23,008,510.77
5. Step 5: Solve for x
   x = 23,008,510.77/3,205.83
6. Step 6: Final answer
   x = 7,177.09