Finding the Third Proportional to 6,166 and 13,796

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166 : 13,796 = 13,796 : x
2. Step 2: Convert to fraction form
   6,166/13,796 = 13,796/x
3. Step 3: Cross multiply
   6,166x = 13,796 × 13,796
4. Step 4: Simplify right side
   6,166x = 190,329,616
5. Step 5: Solve for x
   x = 190,329,616/6,166
6. Step 6: Final answer
   x = 30,867.60