Finding the Third Proportional to 1,183.78 and 2,783.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.78 : 2,783.53 = 2,783.53 : x
2. Step 2: Convert to fraction form
   1,183.78/2,783.53 = 2,783.53/x
3. Step 3: Cross multiply
   1,183.78x = 2,783.53 × 2,783.53
4. Step 4: Simplify right side
   1,183.78x = 7,748,046.22
5. Step 5: Solve for x
   x = 7,748,046.22/1,183.78
6. Step 6: Final answer
   x = 6,545.17