Finding the Third Proportional to 801.94 and 1,667.63

Step by Step Solution

1. Step 1: Write the proportion equation
   801.94 : 1,667.63 = 1,667.63 : x
2. Step 2: Convert to fraction form
   801.94/1,667.63 = 1,667.63/x
3. Step 3: Cross multiply
   801.94x = 1,667.63 × 1,667.63
4. Step 4: Simplify right side
   801.94x = 2,780,973.14
5. Step 5: Solve for x
   x = 2,780,973.14/801.94
6. Step 6: Final answer
   x = 3,467.82