Finding the Third Proportional to 12,262 and 19,427

Step by Step Solution

1. Step 1: Write the proportion equation
   12,262 : 19,427 = 19,427 : x
2. Step 2: Convert to fraction form
   12,262/19,427 = 19,427/x
3. Step 3: Cross multiply
   12,262x = 19,427 × 19,427
4. Step 4: Simplify right side
   12,262x = 377,408,329
5. Step 5: Solve for x
   x = 377,408,329/12,262
6. Step 6: Final answer
   x = 30,778.69