Finding the Third Proportional to 1,544.91 and 2,407.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544.91 : 2,407.78 = 2,407.78 : x
2. Step 2: Convert to fraction form
   1,544.91/2,407.78 = 2,407.78/x
3. Step 3: Cross multiply
   1,544.91x = 2,407.78 × 2,407.78
4. Step 4: Simplify right side
   1,544.91x = 5,797,410.55
5. Step 5: Solve for x
   x = 5,797,410.55/1,544.91
6. Step 6: Final answer
   x = 3,752.60