Finding the Third Proportional to 3,706 and 5,838

Step by Step Solution

1. Step 1: Write the proportion equation
   3,706 : 5,838 = 5,838 : x
2. Step 2: Convert to fraction form
   3,706/5,838 = 5,838/x
3. Step 3: Cross multiply
   3,706x = 5,838 × 5,838
4. Step 4: Simplify right side
   3,706x = 34,082,244
5. Step 5: Solve for x
   x = 34,082,244/3,706
6. Step 6: Final answer
   x = 9,196.50