Finding the Third Proportional to 9,836 and 20,500

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836 : 20,500 = 20,500 : x
2. Step 2: Convert to fraction form
   9,836/20,500 = 20,500/x
3. Step 3: Cross multiply
   9,836x = 20,500 × 20,500
4. Step 4: Simplify right side
   9,836x = 420,250,000
5. Step 5: Solve for x
   x = 420,250,000/9,836
6. Step 6: Final answer
   x = 42,725.70