Finding the Third Proportional to 23,658 and 37,027

Step by Step Solution

1. Step 1: Write the proportion equation
   23,658 : 37,027 = 37,027 : x
2. Step 2: Convert to fraction form
   23,658/37,027 = 37,027/x
3. Step 3: Cross multiply
   23,658x = 37,027 × 37,027
4. Step 4: Simplify right side
   23,658x = 1,370,998,729
5. Step 5: Solve for x
   x = 1,370,998,729/23,658
6. Step 6: Final answer
   x = 57,950.75