Finding the Third Proportional to 6,900 and 16,014

Step by Step Solution

1. Step 1: Write the proportion equation
   6,900 : 16,014 = 16,014 : x
2. Step 2: Convert to fraction form
   6,900/16,014 = 16,014/x
3. Step 3: Cross multiply
   6,900x = 16,014 × 16,014
4. Step 4: Simplify right side
   6,900x = 256,448,196
5. Step 5: Solve for x
   x = 256,448,196/6,900
6. Step 6: Final answer
   x = 37,166.41