Finding the Third Proportional to 2,574.91 and 3,863.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574.91 : 3,863.00 = 3,863.00 : x
2. Step 2: Convert to fraction form
   2,574.91/3,863.00 = 3,863.00/x
3. Step 3: Cross multiply
   2,574.91x = 3,863.00 × 3,863.00
4. Step 4: Simplify right side
   2,574.91x = 14,922,799.18
5. Step 5: Solve for x
   x = 14,922,799.18/2,574.91
6. Step 6: Final answer
   x = 5,795.46