Finding the Third Proportional to 757.83 and 1,023.33

Step by Step Solution

1. Step 1: Write the proportion equation
   757.83 : 1,023.33 = 1,023.33 : x
2. Step 2: Convert to fraction form
   757.83/1,023.33 = 1,023.33/x
3. Step 3: Cross multiply
   757.83x = 1,023.33 × 1,023.33
4. Step 4: Simplify right side
   757.83x = 1,047,200.45
5. Step 5: Solve for x
   x = 1,047,200.45/757.83
6. Step 6: Final answer
   x = 1,381.84