Finding the Third Proportional to 1,472.77 and 3,205.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,472.77 : 3,205.83 = 3,205.83 : x
2. Step 2: Convert to fraction form
   1,472.77/3,205.83 = 3,205.83/x
3. Step 3: Cross multiply
   1,472.77x = 3,205.83 × 3,205.83
4. Step 4: Simplify right side
   1,472.77x = 10,277,333.97
5. Step 5: Solve for x
   x = 10,277,333.97/1,472.77
6. Step 6: Final answer
   x = 6,978.25