Finding the Third Proportional to 11,940 and 14,154

Step by Step Solution

1. Step 1: Write the proportion equation
   11,940 : 14,154 = 14,154 : x
2. Step 2: Convert to fraction form
   11,940/14,154 = 14,154/x
3. Step 3: Cross multiply
   11,940x = 14,154 × 14,154
4. Step 4: Simplify right side
   11,940x = 200,335,716
5. Step 5: Solve for x
   x = 200,335,716/11,940
6. Step 6: Final answer
   x = 16,778.54