Finding the Third Proportional to 6,302 and 13,738

Step by Step Solution

1. Step 1: Write the proportion equation
   6,302 : 13,738 = 13,738 : x
2. Step 2: Convert to fraction form
   6,302/13,738 = 13,738/x
3. Step 3: Cross multiply
   6,302x = 13,738 × 13,738
4. Step 4: Simplify right side
   6,302x = 188,732,644
5. Step 5: Solve for x
   x = 188,732,644/6,302
6. Step 6: Final answer
   x = 29,948.06