Finding the Third Proportional to 1,145.81 and 2,494.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,145.81 : 2,494.69 = 2,494.69 : x
2. Step 2: Convert to fraction form
   1,145.81/2,494.69 = 2,494.69/x
3. Step 3: Cross multiply
   1,145.81x = 2,494.69 × 2,494.69
4. Step 4: Simplify right side
   1,145.81x = 6,223,465.72
5. Step 5: Solve for x
   x = 6,223,465.72/1,145.81
6. Step 6: Final answer
   x = 5,431.49