Finding the Third Proportional to 2,841 and 5,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,841 : 5,819.50 = 5,819.50 : x
2. Step 2: Convert to fraction form
   2,841/5,819.50 = 5,819.50/x
3. Step 3: Cross multiply
   2,841x = 5,819.50 × 5,819.50
4. Step 4: Simplify right side
   2,841x = 33,866,580.25
5. Step 5: Solve for x
   x = 33,866,580.25/2,841
6. Step 6: Final answer
   x = 11,920.65