Finding the Third Proportional to 19,523 and 31,042

Step by Step Solution

1. Step 1: Write the proportion equation
   19,523 : 31,042 = 31,042 : x
2. Step 2: Convert to fraction form
   19,523/31,042 = 31,042/x
3. Step 3: Cross multiply
   19,523x = 31,042 × 31,042
4. Step 4: Simplify right side
   19,523x = 963,605,764
5. Step 5: Solve for x
   x = 963,605,764/19,523
6. Step 6: Final answer
   x = 49,357.46