Finding the Third Proportional to 8,142 and 17,796

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142 : 17,796 = 17,796 : x
2. Step 2: Convert to fraction form
   8,142/17,796 = 17,796/x
3. Step 3: Cross multiply
   8,142x = 17,796 × 17,796
4. Step 4: Simplify right side
   8,142x = 316,697,616
5. Step 5: Solve for x
   x = 316,697,616/8,142
6. Step 6: Final answer
   x = 38,896.78