Finding the Third Proportional to 4,098.09 and 5,725.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,098.09 : 5,725.69 = 5,725.69 : x
2. Step 2: Convert to fraction form
   4,098.09/5,725.69 = 5,725.69/x
3. Step 3: Cross multiply
   4,098.09x = 5,725.69 × 5,725.69
4. Step 4: Simplify right side
   4,098.09x = 32,783,497.35
5. Step 5: Solve for x
   x = 32,783,497.35/4,098.09
6. Step 6: Final answer
   x = 7,999.69