Finding the Third Proportional to 757 and 1,196.75

Step by Step Solution

1. Step 1: Write the proportion equation
   757 : 1,196.75 = 1,196.75 : x
2. Step 2: Convert to fraction form
   757/1,196.75 = 1,196.75/x
3. Step 3: Cross multiply
   757x = 1,196.75 × 1,196.75
4. Step 4: Simplify right side
   757x = 1,432,210.56
5. Step 5: Solve for x
   x = 1,432,210.56/757
6. Step 6: Final answer
   x = 1,891.96