Finding the Third Proportional to 11,900 and 13,736

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900 : 13,736 = 13,736 : x
2. Step 2: Convert to fraction form
   11,900/13,736 = 13,736/x
3. Step 3: Cross multiply
   11,900x = 13,736 × 13,736
4. Step 4: Simplify right side
   11,900x = 188,677,696
5. Step 5: Solve for x
   x = 188,677,696/11,900
6. Step 6: Final answer
   x = 15,855.27