Finding the Third Proportional to 3,890.75 and 5,822.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,890.75 : 5,822.38 = 5,822.38 : x
2. Step 2: Convert to fraction form
   3,890.75/5,822.38 = 5,822.38/x
3. Step 3: Cross multiply
   3,890.75x = 5,822.38 × 5,822.38
4. Step 4: Simplify right side
   3,890.75x = 33,900,050.64
5. Step 5: Solve for x
   x = 33,900,050.64/3,890.75
6. Step 6: Final answer
   x = 8,712.99