Finding the Third Proportional to 10,006 and 19,196

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 19,196 = 19,196 : x
2. Step 2: Convert to fraction form
   10,006/19,196 = 19,196/x
3. Step 3: Cross multiply
   10,006x = 19,196 × 19,196
4. Step 4: Simplify right side
   10,006x = 368,486,416
5. Step 5: Solve for x
   x = 368,486,416/10,006
6. Step 6: Final answer
   x = 36,826.55