Finding the Third Proportional to 12,196 and 19,134

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 19,134 = 19,134 : x
2. Step 2: Convert to fraction form
   12,196/19,134 = 19,134/x
3. Step 3: Cross multiply
   12,196x = 19,134 × 19,134
4. Step 4: Simplify right side
   12,196x = 366,109,956
5. Step 5: Solve for x
   x = 366,109,956/12,196
6. Step 6: Final answer
   x = 30,018.86