Finding the Third Proportional to 3,717.14 and 5,752.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,717.14 : 5,752.27 = 5,752.27 : x
2. Step 2: Convert to fraction form
   3,717.14/5,752.27 = 5,752.27/x
3. Step 3: Cross multiply
   3,717.14x = 5,752.27 × 5,752.27
4. Step 4: Simplify right side
   3,717.14x = 33,088,559.82
5. Step 5: Solve for x
   x = 33,088,559.82/3,717.14
6. Step 6: Final answer
   x = 8,901.62