Finding the Third Proportional to 1,033.25 and 1,073.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.25 : 1,073.75 = 1,073.75 : x
2. Step 2: Convert to fraction form
   1,033.25/1,073.75 = 1,073.75/x
3. Step 3: Cross multiply
   1,033.25x = 1,073.75 × 1,073.75
4. Step 4: Simplify right side
   1,033.25x = 1,152,939.06
5. Step 5: Solve for x
   x = 1,152,939.06/1,033.25
6. Step 6: Final answer
   x = 1,115.84