Finding the Third Proportional to 723 and 1,081.50

Step by Step Solution

1. Step 1: Write the proportion equation
   723 : 1,081.50 = 1,081.50 : x
2. Step 2: Convert to fraction form
   723/1,081.50 = 1,081.50/x
3. Step 3: Cross multiply
   723x = 1,081.50 × 1,081.50
4. Step 4: Simplify right side
   723x = 1,169,642.25
5. Step 5: Solve for x
   x = 1,169,642.25/723
6. Step 6: Final answer
   x = 1,617.76