Finding the Third Proportional to 727.22 and 1,086.02

Step by Step Solution

1. Step 1: Write the proportion equation
   727.22 : 1,086.02 = 1,086.02 : x
2. Step 2: Convert to fraction form
   727.22/1,086.02 = 1,086.02/x
3. Step 3: Cross multiply
   727.22x = 1,086.02 × 1,086.02
4. Step 4: Simplify right side
   727.22x = 1,179,450.09
5. Step 5: Solve for x
   x = 1,179,450.09/727.22
6. Step 6: Final answer
   x = 1,621.86