Finding the Third Proportional to 727.31 and 1,080.56

Step by Step Solution

1. Step 1: Write the proportion equation
   727.31 : 1,080.56 = 1,080.56 : x
2. Step 2: Convert to fraction form
   727.31/1,080.56 = 1,080.56/x
3. Step 3: Cross multiply
   727.31x = 1,080.56 × 1,080.56
4. Step 4: Simplify right side
   727.31x = 1,167,615.32
5. Step 5: Solve for x
   x = 1,167,615.32/727.31
6. Step 6: Final answer
   x = 1,605.38