Finding the Third Proportional to 11,900 and 16,458

Step by Step Solution

1. Step 1: Write the proportion equation
   11,900 : 16,458 = 16,458 : x
2. Step 2: Convert to fraction form
   11,900/16,458 = 16,458/x
3. Step 3: Cross multiply
   11,900x = 16,458 × 16,458
4. Step 4: Simplify right side
   11,900x = 270,865,764
5. Step 5: Solve for x
   x = 270,865,764/11,900
6. Step 6: Final answer
   x = 22,761.83