Finding the Third Proportional to 5,847.75 and 10,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,847.75 : 10,183.50 = 10,183.50 : x
2. Step 2: Convert to fraction form
   5,847.75/10,183.50 = 10,183.50/x
3. Step 3: Cross multiply
   5,847.75x = 10,183.50 × 10,183.50
4. Step 4: Simplify right side
   5,847.75x = 103,703,672.25
5. Step 5: Solve for x
   x = 103,703,672.25/5,847.75
6. Step 6: Final answer
   x = 17,733.94