Finding the Third Proportional to 757.25 and 1,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   757.25 : 1,667.50 = 1,667.50 : x
2. Step 2: Convert to fraction form
   757.25/1,667.50 = 1,667.50/x
3. Step 3: Cross multiply
   757.25x = 1,667.50 × 1,667.50
4. Step 4: Simplify right side
   757.25x = 2,780,556.25
5. Step 5: Solve for x
   x = 2,780,556.25/757.25
6. Step 6: Final answer
   x = 3,671.91