Finding the Third Proportional to 758.25 and 1,145.25

Step by Step Solution

1. Step 1: Write the proportion equation
   758.25 : 1,145.25 = 1,145.25 : x
2. Step 2: Convert to fraction form
   758.25/1,145.25 = 1,145.25/x
3. Step 3: Cross multiply
   758.25x = 1,145.25 × 1,145.25
4. Step 4: Simplify right side
   758.25x = 1,311,597.56
5. Step 5: Solve for x
   x = 1,311,597.56/758.25
6. Step 6: Final answer
   x = 1,729.77