Finding the Third Proportional to 14,408 and 33,116

Step by Step Solution

1. Step 1: Write the proportion equation
   14,408 : 33,116 = 33,116 : x
2. Step 2: Convert to fraction form
   14,408/33,116 = 33,116/x
3. Step 3: Cross multiply
   14,408x = 33,116 × 33,116
4. Step 4: Simplify right side
   14,408x = 1,096,669,456
5. Step 5: Solve for x
   x = 1,096,669,456/14,408
6. Step 6: Final answer
   x = 76,115.31