Finding the Third Proportional to 12,142 and 19,212

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142 : 19,212 = 19,212 : x
2. Step 2: Convert to fraction form
   12,142/19,212 = 19,212/x
3. Step 3: Cross multiply
   12,142x = 19,212 × 19,212
4. Step 4: Simplify right side
   12,142x = 369,100,944
5. Step 5: Solve for x
   x = 369,100,944/12,142
6. Step 6: Final answer
   x = 30,398.69