Finding the Third Proportional to 12,477 and 19,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,477 : 19,408.50 = 19,408.50 : x
2. Step 2: Convert to fraction form
   12,477/19,408.50 = 19,408.50/x
3. Step 3: Cross multiply
   12,477x = 19,408.50 × 19,408.50
4. Step 4: Simplify right side
   12,477x = 376,689,872.25
5. Step 5: Solve for x
   x = 376,689,872.25/12,477
6. Step 6: Final answer
   x = 30,190.74