Finding the Third Proportional to 19,138 and 42,048

Step by Step Solution

1. Step 1: Write the proportion equation
   19,138 : 42,048 = 42,048 : x
2. Step 2: Convert to fraction form
   19,138/42,048 = 42,048/x
3. Step 3: Cross multiply
   19,138x = 42,048 × 42,048
4. Step 4: Simplify right side
   19,138x = 1,768,034,304
5. Step 5: Solve for x
   x = 1,768,034,304/19,138
6. Step 6: Final answer
   x = 92,383.44