Finding the Third Proportional to 9,456 and 20,784

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456 : 20,784 = 20,784 : x
2. Step 2: Convert to fraction form
   9,456/20,784 = 20,784/x
3. Step 3: Cross multiply
   9,456x = 20,784 × 20,784
4. Step 4: Simplify right side
   9,456x = 431,974,656
5. Step 5: Solve for x
   x = 431,974,656/9,456
6. Step 6: Final answer
   x = 45,682.60