Finding the Third Proportional to 3,820.22 and 5,689.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.22 : 5,689.69 = 5,689.69 : x
2. Step 2: Convert to fraction form
   3,820.22/5,689.69 = 5,689.69/x
3. Step 3: Cross multiply
   3,820.22x = 5,689.69 × 5,689.69
4. Step 4: Simplify right side
   3,820.22x = 32,372,543.85
5. Step 5: Solve for x
   x = 32,372,543.85/3,820.22
6. Step 6: Final answer
   x = 8,474.00