Finding the Third Proportional to 3,822 and 5,840

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822 : 5,840 = 5,840 : x
2. Step 2: Convert to fraction form
   3,822/5,840 = 5,840/x
3. Step 3: Cross multiply
   3,822x = 5,840 × 5,840
4. Step 4: Simplify right side
   3,822x = 34,105,600
5. Step 5: Solve for x
   x = 34,105,600/3,822
6. Step 6: Final answer
   x = 8,923.50