Finding the Third Proportional to 9,814.50 and 20,682

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.50 : 20,682 = 20,682 : x
2. Step 2: Convert to fraction form
   9,814.50/20,682 = 20,682/x
3. Step 3: Cross multiply
   9,814.50x = 20,682 × 20,682
4. Step 4: Simplify right side
   9,814.50x = 427,745,124
5. Step 5: Solve for x
   x = 427,745,124/9,814.50
6. Step 6: Final answer
   x = 43,582.98