Finding the Third Proportional to 564.43 and 1,086.14

Step by Step Solution

1. Step 1: Write the proportion equation
   564.43 : 1,086.14 = 1,086.14 : x
2. Step 2: Convert to fraction form
   564.43/1,086.14 = 1,086.14/x
3. Step 3: Cross multiply
   564.43x = 1,086.14 × 1,086.14
4. Step 4: Simplify right side
   564.43x = 1,179,707.82
5. Step 5: Solve for x
   x = 1,179,707.82/564.43
6. Step 6: Final answer
   x = 2,090.09