Finding the Third Proportional to 12,638 and 19,825

Step by Step Solution

1. Step 1: Write the proportion equation
   12,638 : 19,825 = 19,825 : x
2. Step 2: Convert to fraction form
   12,638/19,825 = 19,825/x
3. Step 3: Cross multiply
   12,638x = 19,825 × 19,825
4. Step 4: Simplify right side
   12,638x = 393,030,625
5. Step 5: Solve for x
   x = 393,030,625/12,638
6. Step 6: Final answer
   x = 31,099.12