Finding the Third Proportional to 1,038 and 2,258.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038 : 2,258.63 = 2,258.63 : x
2. Step 2: Convert to fraction form
   1,038/2,258.63 = 2,258.63/x
3. Step 3: Cross multiply
   1,038x = 2,258.63 × 2,258.63
4. Step 4: Simplify right side
   1,038x = 5,101,386.89
5. Step 5: Solve for x
   x = 5,101,386.89/1,038
6. Step 6: Final answer
   x = 4,914.63