Finding the Third Proportional to 3,720.75 and 5,758.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,720.75 : 5,758.69 = 5,758.69 : x
2. Step 2: Convert to fraction form
   3,720.75/5,758.69 = 5,758.69/x
3. Step 3: Cross multiply
   3,720.75x = 5,758.69 × 5,758.69
4. Step 4: Simplify right side
   3,720.75x = 33,162,481.72
5. Step 5: Solve for x
   x = 33,162,481.72/3,720.75
6. Step 6: Final answer
   x = 8,912.85