Finding the Third Proportional to 3,804 and 5,757.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,804 : 5,757.50 = 5,757.50 : x
2. Step 2: Convert to fraction form
   3,804/5,757.50 = 5,757.50/x
3. Step 3: Cross multiply
   3,804x = 5,757.50 × 5,757.50
4. Step 4: Simplify right side
   3,804x = 33,148,806.25
5. Step 5: Solve for x
   x = 33,148,806.25/3,804
6. Step 6: Final answer
   x = 8,714.20