Finding the Third Proportional to 31,952 and 49,042

Step by Step Solution

1. Step 1: Write the proportion equation
   31,952 : 49,042 = 49,042 : x
2. Step 2: Convert to fraction form
   31,952/49,042 = 49,042/x
3. Step 3: Cross multiply
   31,952x = 49,042 × 49,042
4. Step 4: Simplify right side
   31,952x = 2,405,117,764
5. Step 5: Solve for x
   x = 2,405,117,764/31,952
6. Step 6: Final answer
   x = 75,272.84