Finding the Third Proportional to 733.56 and 1,096.56

Step by Step Solution

1. Step 1: Write the proportion equation
   733.56 : 1,096.56 = 1,096.56 : x
2. Step 2: Convert to fraction form
   733.56/1,096.56 = 1,096.56/x
3. Step 3: Cross multiply
   733.56x = 1,096.56 × 1,096.56
4. Step 4: Simplify right side
   733.56x = 1,202,449.32
5. Step 5: Solve for x
   x = 1,202,449.32/733.56
6. Step 6: Final answer
   x = 1,639.19