Finding the Third Proportional to 2,458.31 and 3,760.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,458.31 : 3,760.45 = 3,760.45 : x
2. Step 2: Convert to fraction form
   2,458.31/3,760.45 = 3,760.45/x
3. Step 3: Cross multiply
   2,458.31x = 3,760.45 × 3,760.45
4. Step 4: Simplify right side
   2,458.31x = 14,141,007.71
5. Step 5: Solve for x
   x = 14,141,007.71/2,458.31
6. Step 6: Final answer
   x = 5,752.32