Finding the Third Proportional to 10,138 and 20,762

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138 : 20,762 = 20,762 : x
2. Step 2: Convert to fraction form
   10,138/20,762 = 20,762/x
3. Step 3: Cross multiply
   10,138x = 20,762 × 20,762
4. Step 4: Simplify right side
   10,138x = 431,060,644
5. Step 5: Solve for x
   x = 431,060,644/10,138
6. Step 6: Final answer
   x = 42,519.30