Finding the Third Proportional to 6,437 and 14,105

Step by Step Solution

1. Step 1: Write the proportion equation
   6,437 : 14,105 = 14,105 : x
2. Step 2: Convert to fraction form
   6,437/14,105 = 14,105/x
3. Step 3: Cross multiply
   6,437x = 14,105 × 14,105
4. Step 4: Simplify right side
   6,437x = 198,951,025
5. Step 5: Solve for x
   x = 198,951,025/6,437
6. Step 6: Final answer
   x = 30,907.41