Finding the Third Proportional to 755 and 1,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   755 : 1,140.50 = 1,140.50 : x
2. Step 2: Convert to fraction form
   755/1,140.50 = 1,140.50/x
3. Step 3: Cross multiply
   755x = 1,140.50 × 1,140.50
4. Step 4: Simplify right side
   755x = 1,300,740.25
5. Step 5: Solve for x
   x = 1,300,740.25/755
6. Step 6: Final answer
   x = 1,722.83