Finding the Third Proportional to 19,578 and 42,348

Step by Step Solution

1. Step 1: Write the proportion equation
   19,578 : 42,348 = 42,348 : x
2. Step 2: Convert to fraction form
   19,578/42,348 = 42,348/x
3. Step 3: Cross multiply
   19,578x = 42,348 × 42,348
4. Step 4: Simplify right side
   19,578x = 1,793,353,104
5. Step 5: Solve for x
   x = 1,793,353,104/19,578
6. Step 6: Final answer
   x = 91,600.42