Finding the Third Proportional to 37,344 and 57,852

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 57,852 = 57,852 : x
2. Step 2: Convert to fraction form
   37,344/57,852 = 57,852/x
3. Step 3: Cross multiply
   37,344x = 57,852 × 57,852
4. Step 4: Simplify right side
   37,344x = 3,346,853,904
5. Step 5: Solve for x
   x = 3,346,853,904/37,344
6. Step 6: Final answer
   x = 89,622.27