Finding the Third Proportional to 3,838 and 5,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838 : 5,859.50 = 5,859.50 : x
2. Step 2: Convert to fraction form
   3,838/5,859.50 = 5,859.50/x
3. Step 3: Cross multiply
   3,838x = 5,859.50 × 5,859.50
4. Step 4: Simplify right side
   3,838x = 34,333,740.25
5. Step 5: Solve for x
   x = 34,333,740.25/3,838
6. Step 6: Final answer
   x = 8,945.74