Finding the Third Proportional to 814.94 and 1,667.81

Step by Step Solution

1. Step 1: Write the proportion equation
   814.94 : 1,667.81 = 1,667.81 : x
2. Step 2: Convert to fraction form
   814.94/1,667.81 = 1,667.81/x
3. Step 3: Cross multiply
   814.94x = 1,667.81 × 1,667.81
4. Step 4: Simplify right side
   814.94x = 2,781,598.54
5. Step 5: Solve for x
   x = 2,781,598.54/814.94
6. Step 6: Final answer
   x = 3,413.27