Finding the Third Proportional to 2,456.58 and 3,764.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.58 : 3,764.60 = 3,764.60 : x
2. Step 2: Convert to fraction form
   2,456.58/3,764.60 = 3,764.60/x
3. Step 3: Cross multiply
   2,456.58x = 3,764.60 × 3,764.60
4. Step 4: Simplify right side
   2,456.58x = 14,172,224.92
5. Step 5: Solve for x
   x = 14,172,224.92/2,456.58
6. Step 6: Final answer
   x = 5,769.09