Finding the Third Proportional to 19,578 and 41,730

Step by Step Solution

1. Step 1: Write the proportion equation
   19,578 : 41,730 = 41,730 : x
2. Step 2: Convert to fraction form
   19,578/41,730 = 41,730/x
3. Step 3: Cross multiply
   19,578x = 41,730 × 41,730
4. Step 4: Simplify right side
   19,578x = 1,741,392,900
5. Step 5: Solve for x
   x = 1,741,392,900/19,578
6. Step 6: Final answer
   x = 88,946.41