Finding the Third Proportional to 37,137 and 57,555

Step by Step Solution

1. Step 1: Write the proportion equation
   37,137 : 57,555 = 57,555 : x
2. Step 2: Convert to fraction form
   37,137/57,555 = 57,555/x
3. Step 3: Cross multiply
   37,137x = 57,555 × 57,555
4. Step 4: Simplify right side
   37,137x = 3,312,578,025
5. Step 5: Solve for x
   x = 3,312,578,025/37,137
6. Step 6: Final answer
   x = 89,198.86