Finding the Third Proportional to 10,638 and 25,059

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 25,059 = 25,059 : x
2. Step 2: Convert to fraction form
   10,638/25,059 = 25,059/x
3. Step 3: Cross multiply
   10,638x = 25,059 × 25,059
4. Step 4: Simplify right side
   10,638x = 627,953,481
5. Step 5: Solve for x
   x = 627,953,481/10,638
6. Step 6: Final answer
   x = 59,029.28