Finding the Third Proportional to 9,678 and 20,541

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 20,541 = 20,541 : x
2. Step 2: Convert to fraction form
   9,678/20,541 = 20,541/x
3. Step 3: Cross multiply
   9,678x = 20,541 × 20,541
4. Step 4: Simplify right side
   9,678x = 421,932,681
5. Step 5: Solve for x
   x = 421,932,681/9,678
6. Step 6: Final answer
   x = 43,597.09