Finding the Third Proportional to 6,457 and 14,002

Step by Step Solution

1. Step 1: Write the proportion equation
   6,457 : 14,002 = 14,002 : x
2. Step 2: Convert to fraction form
   6,457/14,002 = 14,002/x
3. Step 3: Cross multiply
   6,457x = 14,002 × 14,002
4. Step 4: Simplify right side
   6,457x = 196,056,004
5. Step 5: Solve for x
   x = 196,056,004/6,457
6. Step 6: Final answer
   x = 30,363.33