Finding the Third Proportional to 2,456.44 and 3,677.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.44 : 3,677.06 = 3,677.06 : x
2. Step 2: Convert to fraction form
   2,456.44/3,677.06 = 3,677.06/x
3. Step 3: Cross multiply
   2,456.44x = 3,677.06 × 3,677.06
4. Step 4: Simplify right side
   2,456.44x = 13,520,788.63
5. Step 5: Solve for x
   x = 13,520,788.63/2,456.44
6. Step 6: Final answer
   x = 5,504.23