Finding the Third Proportional to 12,978 and 19,477

Step by Step Solution

1. Step 1: Write the proportion equation
   12,978 : 19,477 = 19,477 : x
2. Step 2: Convert to fraction form
   12,978/19,477 = 19,477/x
3. Step 3: Cross multiply
   12,978x = 19,477 × 19,477
4. Step 4: Simplify right side
   12,978x = 379,353,529
5. Step 5: Solve for x
   x = 379,353,529/12,978
6. Step 6: Final answer
   x = 29,230.51