Finding the Third Proportional to 10,114 and 20,638

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 20,638 = 20,638 : x
2. Step 2: Convert to fraction form
   10,114/20,638 = 20,638/x
3. Step 3: Cross multiply
   10,114x = 20,638 × 20,638
4. Step 4: Simplify right side
   10,114x = 425,927,044
5. Step 5: Solve for x
   x = 425,927,044/10,114
6. Step 6: Final answer
   x = 42,112.62