Finding the Third Proportional to 3,757.50 and 5,817.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,757.50 : 5,817.56 = 5,817.56 : x
2. Step 2: Convert to fraction form
   3,757.50/5,817.56 = 5,817.56/x
3. Step 3: Cross multiply
   3,757.50x = 5,817.56 × 5,817.56
4. Step 4: Simplify right side
   3,757.50x = 33,844,033.44
5. Step 5: Solve for x
   x = 33,844,033.44/3,757.50
6. Step 6: Final answer
   x = 9,007.06