Finding the Third Proportional to 37,842 and 57,291

Step by Step Solution

1. Step 1: Write the proportion equation
   37,842 : 57,291 = 57,291 : x
2. Step 2: Convert to fraction form
   37,842/57,291 = 57,291/x
3. Step 3: Cross multiply
   37,842x = 57,291 × 57,291
4. Step 4: Simplify right side
   37,842x = 3,282,258,681
5. Step 5: Solve for x
   x = 3,282,258,681/37,842
6. Step 6: Final answer
   x = 86,735.87