Finding the Third Proportional to 12,842 and 19,712

Step by Step Solution

1. Step 1: Write the proportion equation
   12,842 : 19,712 = 19,712 : x
2. Step 2: Convert to fraction form
   12,842/19,712 = 19,712/x
3. Step 3: Cross multiply
   12,842x = 19,712 × 19,712
4. Step 4: Simplify right side
   12,842x = 388,562,944
5. Step 5: Solve for x
   x = 388,562,944/12,842
6. Step 6: Final answer
   x = 30,257.20