Finding the Third Proportional to 12,096 and 19,118

Step by Step Solution

1. Step 1: Write the proportion equation
   12,096 : 19,118 = 19,118 : x
2. Step 2: Convert to fraction form
   12,096/19,118 = 19,118/x
3. Step 3: Cross multiply
   12,096x = 19,118 × 19,118
4. Step 4: Simplify right side
   12,096x = 365,497,924
5. Step 5: Solve for x
   x = 365,497,924/12,096
6. Step 6: Final answer
   x = 30,216.43