Finding the Third Proportional to 5,183.63 and 8,039.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,183.63 : 8,039.53 = 8,039.53 : x
2. Step 2: Convert to fraction form
   5,183.63/8,039.53 = 8,039.53/x
3. Step 3: Cross multiply
   5,183.63x = 8,039.53 × 8,039.53
4. Step 4: Simplify right side
   5,183.63x = 64,634,062.72
5. Step 5: Solve for x
   x = 64,634,062.72/5,183.63
6. Step 6: Final answer
   x = 12,468.89