Finding the Third Proportional to 19,408 and 42,112

Step by Step Solution

1. Step 1: Write the proportion equation
   19,408 : 42,112 = 42,112 : x
2. Step 2: Convert to fraction form
   19,408/42,112 = 42,112/x
3. Step 3: Cross multiply
   19,408x = 42,112 × 42,112
4. Step 4: Simplify right side
   19,408x = 1,773,420,544
5. Step 5: Solve for x
   x = 1,773,420,544/19,408
6. Step 6: Final answer
   x = 91,375.75