Finding the Third Proportional to 10,736 and 12,208

Step by Step Solution

1. Step 1: Write the proportion equation
   10,736 : 12,208 = 12,208 : x
2. Step 2: Convert to fraction form
   10,736/12,208 = 12,208/x
3. Step 3: Cross multiply
   10,736x = 12,208 × 12,208
4. Step 4: Simplify right side
   10,736x = 149,035,264
5. Step 5: Solve for x
   x = 149,035,264/10,736
6. Step 6: Final answer
   x = 13,881.82