Finding the Third Proportional to 20,142 and 41,296

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 41,296 = 41,296 : x
2. Step 2: Convert to fraction form
   20,142/41,296 = 41,296/x
3. Step 3: Cross multiply
   20,142x = 41,296 × 41,296
4. Step 4: Simplify right side
   20,142x = 1,705,359,616
5. Step 5: Solve for x
   x = 1,705,359,616/20,142
6. Step 6: Final answer
   x = 84,666.85