Finding the Third Proportional to 2,424.75 and 3,707.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424.75 : 3,707.56 = 3,707.56 : x
2. Step 2: Convert to fraction form
   2,424.75/3,707.56 = 3,707.56/x
3. Step 3: Cross multiply
   2,424.75x = 3,707.56 × 3,707.56
4. Step 4: Simplify right side
   2,424.75x = 13,746,019.69
5. Step 5: Solve for x
   x = 13,746,019.69/2,424.75
6. Step 6: Final answer
   x = 5,669.05