Finding the Third Proportional to 36,142 and 57,555

Step by Step Solution

1. Step 1: Write the proportion equation
   36,142 : 57,555 = 57,555 : x
2. Step 2: Convert to fraction form
   36,142/57,555 = 57,555/x
3. Step 3: Cross multiply
   36,142x = 57,555 × 57,555
4. Step 4: Simplify right side
   36,142x = 3,312,578,025
5. Step 5: Solve for x
   x = 3,312,578,025/36,142
6. Step 6: Final answer
   x = 91,654.53