Finding the Third Proportional to 12,804 and 20,042

Step by Step Solution

1. Step 1: Write the proportion equation
   12,804 : 20,042 = 20,042 : x
2. Step 2: Convert to fraction form
   12,804/20,042 = 20,042/x
3. Step 3: Cross multiply
   12,804x = 20,042 × 20,042
4. Step 4: Simplify right side
   12,804x = 401,681,764
5. Step 5: Solve for x
   x = 401,681,764/12,804
6. Step 6: Final answer
   x = 31,371.58