Finding the Third Proportional to 11,660 and 12,884

Step by Step Solution

1. Step 1: Write the proportion equation
   11,660 : 12,884 = 12,884 : x
2. Step 2: Convert to fraction form
   11,660/12,884 = 12,884/x
3. Step 3: Cross multiply
   11,660x = 12,884 × 12,884
4. Step 4: Simplify right side
   11,660x = 165,997,456
5. Step 5: Solve for x
   x = 165,997,456/11,660
6. Step 6: Final answer
   x = 14,236.49