Finding the Third Proportional to 12,198 and 19,146

Step by Step Solution

1. Step 1: Write the proportion equation
   12,198 : 19,146 = 19,146 : x
2. Step 2: Convert to fraction form
   12,198/19,146 = 19,146/x
3. Step 3: Cross multiply
   12,198x = 19,146 × 19,146
4. Step 4: Simplify right side
   12,198x = 366,569,316
5. Step 5: Solve for x
   x = 366,569,316/12,198
6. Step 6: Final answer
   x = 30,051.59