Finding the Third Proportional to 2,297 and 5,038

Step by Step Solution

1. Step 1: Write the proportion equation
   2,297 : 5,038 = 5,038 : x
2. Step 2: Convert to fraction form
   2,297/5,038 = 5,038/x
3. Step 3: Cross multiply
   2,297x = 5,038 × 5,038
4. Step 4: Simplify right side
   2,297x = 25,381,444
5. Step 5: Solve for x
   x = 25,381,444/2,297
6. Step 6: Final answer
   x = 11,049.82