Finding the Third Proportional to 19,578 and 42,342

Step by Step Solution

1. Step 1: Write the proportion equation
   19,578 : 42,342 = 42,342 : x
2. Step 2: Convert to fraction form
   19,578/42,342 = 42,342/x
3. Step 3: Cross multiply
   19,578x = 42,342 × 42,342
4. Step 4: Simplify right side
   19,578x = 1,792,844,964
5. Step 5: Solve for x
   x = 1,792,844,964/19,578
6. Step 6: Final answer
   x = 91,574.47