Finding the Third Proportional to 2,433.38 and 5,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,433.38 : 5,698.69 = 5,698.69 : x
2. Step 2: Convert to fraction form
   2,433.38/5,698.69 = 5,698.69/x
3. Step 3: Cross multiply
   2,433.38x = 5,698.69 × 5,698.69
4. Step 4: Simplify right side
   2,433.38x = 32,475,039.22
5. Step 5: Solve for x
   x = 32,475,039.22/2,433.38
6. Step 6: Final answer
   x = 13,345.68