Finding the Third Proportional to 19,634 and 42,372

Step by Step Solution

1. Step 1: Write the proportion equation
   19,634 : 42,372 = 42,372 : x
2. Step 2: Convert to fraction form
   19,634/42,372 = 42,372/x
3. Step 3: Cross multiply
   19,634x = 42,372 × 42,372
4. Step 4: Simplify right side
   19,634x = 1,795,386,384
5. Step 5: Solve for x
   x = 1,795,386,384/19,634
6. Step 6: Final answer
   x = 91,442.72