Finding the Third Proportional to 1,183.50 and 2,495.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.50 : 2,495.81 = 2,495.81 : x
2. Step 2: Convert to fraction form
   1,183.50/2,495.81 = 2,495.81/x
3. Step 3: Cross multiply
   1,183.50x = 2,495.81 × 2,495.81
4. Step 4: Simplify right side
   1,183.50x = 6,229,080.04
5. Step 5: Solve for x
   x = 6,229,080.04/1,183.50
6. Step 6: Final answer
   x = 5,263.27