Finding the Third Proportional to 6,514 and 14,168

Step by Step Solution

1. Step 1: Write the proportion equation
   6,514 : 14,168 = 14,168 : x
2. Step 2: Convert to fraction form
   6,514/14,168 = 14,168/x
3. Step 3: Cross multiply
   6,514x = 14,168 × 14,168
4. Step 4: Simplify right side
   6,514x = 200,732,224
5. Step 5: Solve for x
   x = 200,732,224/6,514
6. Step 6: Final answer
   x = 30,815.51