Finding the Third Proportional to 849.94 and 1,227.38

Step by Step Solution

1. Step 1: Write the proportion equation
   849.94 : 1,227.38 = 1,227.38 : x
2. Step 2: Convert to fraction form
   849.94/1,227.38 = 1,227.38/x
3. Step 3: Cross multiply
   849.94x = 1,227.38 × 1,227.38
4. Step 4: Simplify right side
   849.94x = 1,506,449.39
5. Step 5: Solve for x
   x = 1,506,449.39/849.94
6. Step 6: Final answer
   x = 1,772.42