Finding the Third Proportional to 6,426 and 14,076

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 14,076 = 14,076 : x
2. Step 2: Convert to fraction form
   6,426/14,076 = 14,076/x
3. Step 3: Cross multiply
   6,426x = 14,076 × 14,076
4. Step 4: Simplify right side
   6,426x = 198,133,776
5. Step 5: Solve for x
   x = 198,133,776/6,426
6. Step 6: Final answer
   x = 30,833.14