Finding the Third Proportional to 27,145 and 42,027

Step by Step Solution

1. Step 1: Write the proportion equation
   27,145 : 42,027 = 42,027 : x
2. Step 2: Convert to fraction form
   27,145/42,027 = 42,027/x
3. Step 3: Cross multiply
   27,145x = 42,027 × 42,027
4. Step 4: Simplify right side
   27,145x = 1,766,268,729
5. Step 5: Solve for x
   x = 1,766,268,729/27,145
6. Step 6: Final answer
   x = 65,067.92