Finding the Third Proportional to 2,574 and 5,645.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 5,645.81 = 5,645.81 : x
2. Step 2: Convert to fraction form
   2,574/5,645.81 = 5,645.81/x
3. Step 3: Cross multiply
   2,574x = 5,645.81 × 5,645.81
4. Step 4: Simplify right side
   2,574x = 31,875,198.79
5. Step 5: Solve for x
   x = 31,875,198.79/2,574
6. Step 6: Final answer
   x = 12,383.53