Finding the Third Proportional to 3,824 and 5,906

Step by Step Solution

1. Step 1: Write the proportion equation
   3,824 : 5,906 = 5,906 : x
2. Step 2: Convert to fraction form
   3,824/5,906 = 5,906/x
3. Step 3: Cross multiply
   3,824x = 5,906 × 5,906
4. Step 4: Simplify right side
   3,824x = 34,880,836
5. Step 5: Solve for x
   x = 34,880,836/3,824
6. Step 6: Final answer
   x = 9,121.56