Finding the Third Proportional to 732 and 1,353.56

Step by Step Solution

1. Step 1: Write the proportion equation
   732 : 1,353.56 = 1,353.56 : x
2. Step 2: Convert to fraction form
   732/1,353.56 = 1,353.56/x
3. Step 3: Cross multiply
   732x = 1,353.56 × 1,353.56
4. Step 4: Simplify right side
   732x = 1,832,131.44
5. Step 5: Solve for x
   x = 1,832,131.44/732
6. Step 6: Final answer
   x = 2,502.91