Finding the Third Proportional to 20,419 and 42,116

Step by Step Solution

1. Step 1: Write the proportion equation
   20,419 : 42,116 = 42,116 : x
2. Step 2: Convert to fraction form
   20,419/42,116 = 42,116/x
3. Step 3: Cross multiply
   20,419x = 42,116 × 42,116
4. Step 4: Simplify right side
   20,419x = 1,773,757,456
5. Step 5: Solve for x
   x = 1,773,757,456/20,419
6. Step 6: Final answer
   x = 86,867.99