Finding the Third Proportional to 10,942 and 20,506

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942 : 20,506 = 20,506 : x
2. Step 2: Convert to fraction form
   10,942/20,506 = 20,506/x
3. Step 3: Cross multiply
   10,942x = 20,506 × 20,506
4. Step 4: Simplify right side
   10,942x = 420,496,036
5. Step 5: Solve for x
   x = 420,496,036/10,942
6. Step 6: Final answer
   x = 38,429.54