Finding the Third Proportional to 20,106 and 30,638

Step by Step Solution

1. Step 1: Write the proportion equation
   20,106 : 30,638 = 30,638 : x
2. Step 2: Convert to fraction form
   20,106/30,638 = 30,638/x
3. Step 3: Cross multiply
   20,106x = 30,638 × 30,638
4. Step 4: Simplify right side
   20,106x = 938,687,044
5. Step 5: Solve for x
   x = 938,687,044/20,106
6. Step 6: Final answer
   x = 46,686.91