Finding the Third Proportional to 25,013 and 59,042

Step by Step Solution

1. Step 1: Write the proportion equation
   25,013 : 59,042 = 59,042 : x
2. Step 2: Convert to fraction form
   25,013/59,042 = 59,042/x
3. Step 3: Cross multiply
   25,013x = 59,042 × 59,042
4. Step 4: Simplify right side
   25,013x = 3,485,957,764
5. Step 5: Solve for x
   x = 3,485,957,764/25,013
6. Step 6: Final answer
   x = 139,365.84