Finding the Third Proportional to 10,207 and 21,638

Step by Step Solution

1. Step 1: Write the proportion equation
   10,207 : 21,638 = 21,638 : x
2. Step 2: Convert to fraction form
   10,207/21,638 = 21,638/x
3. Step 3: Cross multiply
   10,207x = 21,638 × 21,638
4. Step 4: Simplify right side
   10,207x = 468,203,044
5. Step 5: Solve for x
   x = 468,203,044/10,207
6. Step 6: Final answer
   x = 45,870.78