Finding the Third Proportional to 19,674 and 42,372

Step by Step Solution

1. Step 1: Write the proportion equation
   19,674 : 42,372 = 42,372 : x
2. Step 2: Convert to fraction form
   19,674/42,372 = 42,372/x
3. Step 3: Cross multiply
   19,674x = 42,372 × 42,372
4. Step 4: Simplify right side
   19,674x = 1,795,386,384
5. Step 5: Solve for x
   x = 1,795,386,384/19,674
6. Step 6: Final answer
   x = 91,256.81