Finding the Third Proportional to 10,022 and 20,680

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 20,680 = 20,680 : x
2. Step 2: Convert to fraction form
   10,022/20,680 = 20,680/x
3. Step 3: Cross multiply
   10,022x = 20,680 × 20,680
4. Step 4: Simplify right side
   10,022x = 427,662,400
5. Step 5: Solve for x
   x = 427,662,400/10,022
6. Step 6: Final answer
   x = 42,672.36