Finding the Third Proportional to 10,734 and 12,138

Step by Step Solution

1. Step 1: Write the proportion equation
   10,734 : 12,138 = 12,138 : x
2. Step 2: Convert to fraction form
   10,734/12,138 = 12,138/x
3. Step 3: Cross multiply
   10,734x = 12,138 × 12,138
4. Step 4: Simplify right side
   10,734x = 147,331,044
5. Step 5: Solve for x
   x = 147,331,044/10,734
6. Step 6: Final answer
   x = 13,725.64