Finding the Third Proportional to 3,834.56 and 5,770.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.56 : 5,770.69 = 5,770.69 : x
2. Step 2: Convert to fraction form
   3,834.56/5,770.69 = 5,770.69/x
3. Step 3: Cross multiply
   3,834.56x = 5,770.69 × 5,770.69
4. Step 4: Simplify right side
   3,834.56x = 33,300,834.22
5. Step 5: Solve for x
   x = 33,300,834.22/3,834.56
6. Step 6: Final answer
   x = 8,684.39