Finding the Third Proportional to 2,888 and 4,138

Step by Step Solution

1. Step 1: Write the proportion equation
   2,888 : 4,138 = 4,138 : x
2. Step 2: Convert to fraction form
   2,888/4,138 = 4,138/x
3. Step 3: Cross multiply
   2,888x = 4,138 × 4,138
4. Step 4: Simplify right side
   2,888x = 17,123,044
5. Step 5: Solve for x
   x = 17,123,044/2,888
6. Step 6: Final answer
   x = 5,929.03