Finding the Third Proportional to 19,530 and 41,382

Step by Step Solution

1. Step 1: Write the proportion equation
   19,530 : 41,382 = 41,382 : x
2. Step 2: Convert to fraction form
   19,530/41,382 = 41,382/x
3. Step 3: Cross multiply
   19,530x = 41,382 × 41,382
4. Step 4: Simplify right side
   19,530x = 1,712,469,924
5. Step 5: Solve for x
   x = 1,712,469,924/19,530
6. Step 6: Final answer
   x = 87,684.07