Finding the Third Proportional to 9,638 and 22,390

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638 : 22,390 = 22,390 : x
2. Step 2: Convert to fraction form
   9,638/22,390 = 22,390/x
3. Step 3: Cross multiply
   9,638x = 22,390 × 22,390
4. Step 4: Simplify right side
   9,638x = 501,312,100
5. Step 5: Solve for x
   x = 501,312,100/9,638
6. Step 6: Final answer
   x = 52,014.12