Finding the Third Proportional to 11,896 and 16,900

Step by Step Solution

1. Step 1: Write the proportion equation
   11,896 : 16,900 = 16,900 : x
2. Step 2: Convert to fraction form
   11,896/16,900 = 16,900/x
3. Step 3: Cross multiply
   11,896x = 16,900 × 16,900
4. Step 4: Simplify right side
   11,896x = 285,610,000
5. Step 5: Solve for x
   x = 285,610,000/11,896
6. Step 6: Final answer
   x = 24,008.91