Finding the Third Proportional to 11,754 and 12,906

Step by Step Solution

1. Step 1: Write the proportion equation
   11,754 : 12,906 = 12,906 : x
2. Step 2: Convert to fraction form
   11,754/12,906 = 12,906/x
3. Step 3: Cross multiply
   11,754x = 12,906 × 12,906
4. Step 4: Simplify right side
   11,754x = 166,564,836
5. Step 5: Solve for x
   x = 166,564,836/11,754
6. Step 6: Final answer
   x = 14,170.91