Finding the Third Proportional to 19,296 and 42,048

Step by Step Solution

1. Step 1: Write the proportion equation
   19,296 : 42,048 = 42,048 : x
2. Step 2: Convert to fraction form
   19,296/42,048 = 42,048/x
3. Step 3: Cross multiply
   19,296x = 42,048 × 42,048
4. Step 4: Simplify right side
   19,296x = 1,768,034,304
5. Step 5: Solve for x
   x = 1,768,034,304/19,296
6. Step 6: Final answer
   x = 91,626.99