Finding the Third Proportional to 2,983.78 and 4,474.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,983.78 : 4,474.69 = 4,474.69 : x
2. Step 2: Convert to fraction form
   2,983.78/4,474.69 = 4,474.69/x
3. Step 3: Cross multiply
   2,983.78x = 4,474.69 × 4,474.69
4. Step 4: Simplify right side
   2,983.78x = 20,022,828.22
5. Step 5: Solve for x
   x = 20,022,828.22/2,983.78
6. Step 6: Final answer
   x = 6,710.56