Finding the Third Proportional to 1,033.75 and 2,133.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.75 : 2,133.25 = 2,133.25 : x
2. Step 2: Convert to fraction form
   1,033.75/2,133.25 = 2,133.25/x
3. Step 3: Cross multiply
   1,033.75x = 2,133.25 × 2,133.25
4. Step 4: Simplify right side
   1,033.75x = 4,550,755.56
5. Step 5: Solve for x
   x = 4,550,755.56/1,033.75
6. Step 6: Final answer
   x = 4,402.18