Finding the Third Proportional to 5,821.94 and 8,230.03

Step by Step Solution

1. Step 1: Write the proportion equation
   5,821.94 : 8,230.03 = 8,230.03 : x
2. Step 2: Convert to fraction form
   5,821.94/8,230.03 = 8,230.03/x
3. Step 3: Cross multiply
   5,821.94x = 8,230.03 × 8,230.03
4. Step 4: Simplify right side
   5,821.94x = 67,733,414.38
5. Step 5: Solve for x
   x = 67,733,414.38/5,821.94
6. Step 6: Final answer
   x = 11,634.17