Finding the Third Proportional to 12,005 and 19,013

Step by Step Solution

1. Step 1: Write the proportion equation
   12,005 : 19,013 = 19,013 : x
2. Step 2: Convert to fraction form
   12,005/19,013 = 19,013/x
3. Step 3: Cross multiply
   12,005x = 19,013 × 19,013
4. Step 4: Simplify right side
   12,005x = 361,494,169
5. Step 5: Solve for x
   x = 361,494,169/12,005
6. Step 6: Final answer
   x = 30,111.97