Finding the Third Proportional to 733 and 1,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   733 : 1,109.50 = 1,109.50 : x
2. Step 2: Convert to fraction form
   733/1,109.50 = 1,109.50/x
3. Step 3: Cross multiply
   733x = 1,109.50 × 1,109.50
4. Step 4: Simplify right side
   733x = 1,230,990.25
5. Step 5: Solve for x
   x = 1,230,990.25/733
6. Step 6: Final answer
   x = 1,679.39