Finding the Third Proportional to 12,634 and 13,738

Step by Step Solution

1. Step 1: Write the proportion equation
   12,634 : 13,738 = 13,738 : x
2. Step 2: Convert to fraction form
   12,634/13,738 = 13,738/x
3. Step 3: Cross multiply
   12,634x = 13,738 × 13,738
4. Step 4: Simplify right side
   12,634x = 188,732,644
5. Step 5: Solve for x
   x = 188,732,644/12,634
6. Step 6: Final answer
   x = 14,938.47