Finding the Third Proportional to 849.98 and 1,800.47

Step by Step Solution

1. Step 1: Write the proportion equation
   849.98 : 1,800.47 = 1,800.47 : x
2. Step 2: Convert to fraction form
   849.98/1,800.47 = 1,800.47/x
3. Step 3: Cross multiply
   849.98x = 1,800.47 × 1,800.47
4. Step 4: Simplify right side
   849.98x = 3,241,687.72
5. Step 5: Solve for x
   x = 3,241,687.72/849.98
6. Step 6: Final answer
   x = 3,813.82