Finding the Third Proportional to 12,408.19 and 19,219.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,408.19 : 19,219.78 = 19,219.78 : x
2. Step 2: Convert to fraction form
   12,408.19/19,219.78 = 19,219.78/x
3. Step 3: Cross multiply
   12,408.19x = 19,219.78 × 19,219.78
4. Step 4: Simplify right side
   12,408.19x = 369,399,991.30
5. Step 5: Solve for x
   x = 369,399,991.30/12,408.19
6. Step 6: Final answer
   x = 29,770.66