Finding the Third Proportional to 12,834 and 19,196

Step by Step Solution

1. Step 1: Write the proportion equation
   12,834 : 19,196 = 19,196 : x
2. Step 2: Convert to fraction form
   12,834/19,196 = 19,196/x
3. Step 3: Cross multiply
   12,834x = 19,196 × 19,196
4. Step 4: Simplify right side
   12,834x = 368,486,416
5. Step 5: Solve for x
   x = 368,486,416/12,834
6. Step 6: Final answer
   x = 28,711.74