Finding the Third Proportional to 3,770.30 and 5,797.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,770.30 : 5,797.83 = 5,797.83 : x
2. Step 2: Convert to fraction form
   3,770.30/5,797.83 = 5,797.83/x
3. Step 3: Cross multiply
   3,770.30x = 5,797.83 × 5,797.83
4. Step 4: Simplify right side
   3,770.30x = 33,614,810.97
5. Step 5: Solve for x
   x = 33,614,810.97/3,770.30
6. Step 6: Final answer
   x = 8,915.69