Finding the Third Proportional to 757.83 and 1,018.39

Step by Step Solution

1. Step 1: Write the proportion equation
   757.83 : 1,018.39 = 1,018.39 : x
2. Step 2: Convert to fraction form
   757.83/1,018.39 = 1,018.39/x
3. Step 3: Cross multiply
   757.83x = 1,018.39 × 1,018.39
4. Step 4: Simplify right side
   757.83x = 1,037,124.44
5. Step 5: Solve for x
   x = 1,037,124.44/757.83
6. Step 6: Final answer
   x = 1,368.54