Finding the Third Proportional to 10,086 and 20,442

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 20,442 = 20,442 : x
2. Step 2: Convert to fraction form
   10,086/20,442 = 20,442/x
3. Step 3: Cross multiply
   10,086x = 20,442 × 20,442
4. Step 4: Simplify right side
   10,086x = 417,875,364
5. Step 5: Solve for x
   x = 417,875,364/10,086
6. Step 6: Final answer
   x = 41,431.23