Finding the Third Proportional to 6,410 and 14,026

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410 : 14,026 = 14,026 : x
2. Step 2: Convert to fraction form
   6,410/14,026 = 14,026/x
3. Step 3: Cross multiply
   6,410x = 14,026 × 14,026
4. Step 4: Simplify right side
   6,410x = 196,728,676
5. Step 5: Solve for x
   x = 196,728,676/6,410
6. Step 6: Final answer
   x = 30,690.90