Finding the Third Proportional to 3,856 and 5,810.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,856 : 5,810.50 = 5,810.50 : x
2. Step 2: Convert to fraction form
   3,856/5,810.50 = 5,810.50/x
3. Step 3: Cross multiply
   3,856x = 5,810.50 × 5,810.50
4. Step 4: Simplify right side
   3,856x = 33,761,910.25
5. Step 5: Solve for x
   x = 33,761,910.25/3,856
6. Step 6: Final answer
   x = 8,755.68