Finding the Third Proportional to 10,097 and 20,698

Step by Step Solution

1. Step 1: Write the proportion equation
   10,097 : 20,698 = 20,698 : x
2. Step 2: Convert to fraction form
   10,097/20,698 = 20,698/x
3. Step 3: Cross multiply
   10,097x = 20,698 × 20,698
4. Step 4: Simplify right side
   10,097x = 428,407,204
5. Step 5: Solve for x
   x = 428,407,204/10,097
6. Step 6: Final answer
   x = 42,429.16