Finding the Third Proportional to 12,192 and 19,116

Step by Step Solution

1. Step 1: Write the proportion equation
   12,192 : 19,116 = 19,116 : x
2. Step 2: Convert to fraction form
   12,192/19,116 = 19,116/x
3. Step 3: Cross multiply
   12,192x = 19,116 × 19,116
4. Step 4: Simplify right side
   12,192x = 365,421,456
5. Step 5: Solve for x
   x = 365,421,456/12,192
6. Step 6: Final answer
   x = 29,972.23