Finding the Third Proportional to 12,142 and 19,307

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142 : 19,307 = 19,307 : x
2. Step 2: Convert to fraction form
   12,142/19,307 = 19,307/x
3. Step 3: Cross multiply
   12,142x = 19,307 × 19,307
4. Step 4: Simplify right side
   12,142x = 372,760,249
5. Step 5: Solve for x
   x = 372,760,249/12,142
6. Step 6: Final answer
   x = 30,700.07