Finding the Third Proportional to 2,138 and 5,141

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138 : 5,141 = 5,141 : x
2. Step 2: Convert to fraction form
   2,138/5,141 = 5,141/x
3. Step 3: Cross multiply
   2,138x = 5,141 × 5,141
4. Step 4: Simplify right side
   2,138x = 26,429,881
5. Step 5: Solve for x
   x = 26,429,881/2,138
6. Step 6: Final answer
   x = 12,361.96