Finding the Third Proportional to 20,142 and 30,741

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 30,741 = 30,741 : x
2. Step 2: Convert to fraction form
   20,142/30,741 = 30,741/x
3. Step 3: Cross multiply
   20,142x = 30,741 × 30,741
4. Step 4: Simplify right side
   20,142x = 945,009,081
5. Step 5: Solve for x
   x = 945,009,081/20,142
6. Step 6: Final answer
   x = 46,917.34