Finding the Third Proportional to 6,414 and 13,756

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414 : 13,756 = 13,756 : x
2. Step 2: Convert to fraction form
   6,414/13,756 = 13,756/x
3. Step 3: Cross multiply
   6,414x = 13,756 × 13,756
4. Step 4: Simplify right side
   6,414x = 189,227,536
5. Step 5: Solve for x
   x = 189,227,536/6,414
6. Step 6: Final answer
   x = 29,502.27