Finding the Third Proportional to 2,431.69 and 4,574.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,431.69 : 4,574.81 = 4,574.81 : x
2. Step 2: Convert to fraction form
   2,431.69/4,574.81 = 4,574.81/x
3. Step 3: Cross multiply
   2,431.69x = 4,574.81 × 4,574.81
4. Step 4: Simplify right side
   2,431.69x = 20,928,909.41
5. Step 5: Solve for x
   x = 20,928,909.41/2,431.69
6. Step 6: Final answer
   x = 8,606.74