Finding the Third Proportional to 2,297.81 and 5,392.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297.81 : 5,392.69 = 5,392.69 : x
2. Step 2: Convert to fraction form
   2,297.81/5,392.69 = 5,392.69/x
3. Step 3: Cross multiply
   2,297.81x = 5,392.69 × 5,392.69
4. Step 4: Simplify right side
   2,297.81x = 29,081,078.47
5. Step 5: Solve for x
   x = 29,081,078.47/2,297.81
6. Step 6: Final answer
   x = 12,655.98