Finding the Third Proportional to 37,596 and 89,067

Step by Step Solution

1. Step 1: Write the proportion equation
   37,596 : 89,067 = 89,067 : x
2. Step 2: Convert to fraction form
   37,596/89,067 = 89,067/x
3. Step 3: Cross multiply
   37,596x = 89,067 × 89,067
4. Step 4: Simplify right side
   37,596x = 7,932,930,489
5. Step 5: Solve for x
   x = 7,932,930,489/37,596
6. Step 6: Final answer
   x = 211,004.64