Finding the Third Proportional to 10,098 and 20,686

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098 : 20,686 = 20,686 : x
2. Step 2: Convert to fraction form
   10,098/20,686 = 20,686/x
3. Step 3: Cross multiply
   10,098x = 20,686 × 20,686
4. Step 4: Simplify right side
   10,098x = 427,910,596
5. Step 5: Solve for x
   x = 427,910,596/10,098
6. Step 6: Final answer
   x = 42,375.78