Finding the Third Proportional to 10,638 and 23,390

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 23,390 = 23,390 : x
2. Step 2: Convert to fraction form
   10,638/23,390 = 23,390/x
3. Step 3: Cross multiply
   10,638x = 23,390 × 23,390
4. Step 4: Simplify right side
   10,638x = 547,092,100
5. Step 5: Solve for x
   x = 547,092,100/10,638
6. Step 6: Final answer
   x = 51,428.10