Finding the Third Proportional to 1,801.50 and 3,819.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,801.50 : 3,819.94 = 3,819.94 : x
2. Step 2: Convert to fraction form
   1,801.50/3,819.94 = 3,819.94/x
3. Step 3: Cross multiply
   1,801.50x = 3,819.94 × 3,819.94
4. Step 4: Simplify right side
   1,801.50x = 14,591,922.50
5. Step 5: Solve for x
   x = 14,591,922.50/1,801.50
6. Step 6: Final answer
   x = 8,099.87