Finding the Third Proportional to 9,506 and 20,818

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506 : 20,818 = 20,818 : x
2. Step 2: Convert to fraction form
   9,506/20,818 = 20,818/x
3. Step 3: Cross multiply
   9,506x = 20,818 × 20,818
4. Step 4: Simplify right side
   9,506x = 433,389,124
5. Step 5: Solve for x
   x = 433,389,124/9,506
6. Step 6: Final answer
   x = 45,591.11