Finding the Third Proportional to 10,680 and 13,956

Step by Step Solution

1. Step 1: Write the proportion equation
   10,680 : 13,956 = 13,956 : x
2. Step 2: Convert to fraction form
   10,680/13,956 = 13,956/x
3. Step 3: Cross multiply
   10,680x = 13,956 × 13,956
4. Step 4: Simplify right side
   10,680x = 194,769,936
5. Step 5: Solve for x
   x = 194,769,936/10,680
6. Step 6: Final answer
   x = 18,236.89