Finding the Third Proportional to 3,193.17 and 5,725.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,193.17 : 5,725.69 = 5,725.69 : x
2. Step 2: Convert to fraction form
   3,193.17/5,725.69 = 5,725.69/x
3. Step 3: Cross multiply
   3,193.17x = 5,725.69 × 5,725.69
4. Step 4: Simplify right side
   3,193.17x = 32,783,497.35
5. Step 5: Solve for x
   x = 32,783,497.35/3,193.17
6. Step 6: Final answer
   x = 10,266.75