Finding the Third Proportional to 19,493 and 42,266

Step by Step Solution

1. Step 1: Write the proportion equation
   19,493 : 42,266 = 42,266 : x
2. Step 2: Convert to fraction form
   19,493/42,266 = 42,266/x
3. Step 3: Cross multiply
   19,493x = 42,266 × 42,266
4. Step 4: Simplify right side
   19,493x = 1,786,414,756
5. Step 5: Solve for x
   x = 1,786,414,756/19,493
6. Step 6: Final answer
   x = 91,643.91