Finding the Third Proportional to 9,837 and 20,582

Step by Step Solution

1. Step 1: Write the proportion equation
   9,837 : 20,582 = 20,582 : x
2. Step 2: Convert to fraction form
   9,837/20,582 = 20,582/x
3. Step 3: Cross multiply
   9,837x = 20,582 × 20,582
4. Step 4: Simplify right side
   9,837x = 423,618,724
5. Step 5: Solve for x
   x = 423,618,724/9,837
6. Step 6: Final answer
   x = 43,063.81