Finding the Third Proportional to 9,825 and 20,478

Step by Step Solution

1. Step 1: Write the proportion equation
   9,825 : 20,478 = 20,478 : x
2. Step 2: Convert to fraction form
   9,825/20,478 = 20,478/x
3. Step 3: Cross multiply
   9,825x = 20,478 × 20,478
4. Step 4: Simplify right side
   9,825x = 419,348,484
5. Step 5: Solve for x
   x = 419,348,484/9,825
6. Step 6: Final answer
   x = 42,681.78