Finding the Third Proportional to 3,809.38 and 5,754.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,809.38 : 5,754.56 = 5,754.56 : x
2. Step 2: Convert to fraction form
   3,809.38/5,754.56 = 5,754.56/x
3. Step 3: Cross multiply
   3,809.38x = 5,754.56 × 5,754.56
4. Step 4: Simplify right side
   3,809.38x = 33,114,989.57
5. Step 5: Solve for x
   x = 33,114,989.57/3,809.38
6. Step 6: Final answer
   x = 8,693.02