Finding the Third Proportional to 849.80 and 1,801.69

Step by Step Solution

1. Step 1: Write the proportion equation
   849.80 : 1,801.69 = 1,801.69 : x
2. Step 2: Convert to fraction form
   849.80/1,801.69 = 1,801.69/x
3. Step 3: Cross multiply
   849.80x = 1,801.69 × 1,801.69
4. Step 4: Simplify right side
   849.80x = 3,246,077.85
5. Step 5: Solve for x
   x = 3,246,077.85/849.80
6. Step 6: Final answer
   x = 3,819.83