Finding the Third Proportional to 10,054 and 21,638

Step by Step Solution

1. Step 1: Write the proportion equation
   10,054 : 21,638 = 21,638 : x
2. Step 2: Convert to fraction form
   10,054/21,638 = 21,638/x
3. Step 3: Cross multiply
   10,054x = 21,638 × 21,638
4. Step 4: Simplify right side
   10,054x = 468,203,044
5. Step 5: Solve for x
   x = 468,203,044/10,054
6. Step 6: Final answer
   x = 46,568.83