Finding the Third Proportional to 1,474.31 and 3,208.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,474.31 : 3,208.78 = 3,208.78 : x
2. Step 2: Convert to fraction form
   1,474.31/3,208.78 = 3,208.78/x
3. Step 3: Cross multiply
   1,474.31x = 3,208.78 × 3,208.78
4. Step 4: Simplify right side
   1,474.31x = 10,296,277.11
5. Step 5: Solve for x
   x = 10,296,277.11/1,474.31
6. Step 6: Final answer
   x = 6,983.78