Finding the Third Proportional to 6,477.75 and 10,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,477.75 : 10,183.50 = 10,183.50 : x
2. Step 2: Convert to fraction form
   6,477.75/10,183.50 = 10,183.50/x
3. Step 3: Cross multiply
   6,477.75x = 10,183.50 × 10,183.50
4. Step 4: Simplify right side
   6,477.75x = 103,703,672.25
5. Step 5: Solve for x
   x = 103,703,672.25/6,477.75
6. Step 6: Final answer
   x = 16,009.21