Finding the Third Proportional to 11,766 and 14,906

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 14,906 = 14,906 : x
2. Step 2: Convert to fraction form
   11,766/14,906 = 14,906/x
3. Step 3: Cross multiply
   11,766x = 14,906 × 14,906
4. Step 4: Simplify right side
   11,766x = 222,188,836
5. Step 5: Solve for x
   x = 222,188,836/11,766
6. Step 6: Final answer
   x = 18,883.97