Finding the Third Proportional to 4,141.13 and 5,698.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,141.13 : 5,698.69 = 5,698.69 : x
2. Step 2: Convert to fraction form
   4,141.13/5,698.69 = 5,698.69/x
3. Step 3: Cross multiply
   4,141.13x = 5,698.69 × 5,698.69
4. Step 4: Simplify right side
   4,141.13x = 32,475,039.22
5. Step 5: Solve for x
   x = 32,475,039.22/4,141.13
6. Step 6: Final answer
   x = 7,842.08