Finding the Third Proportional to 1,038.66 and 2,258.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,038.66 : 2,258.72 = 2,258.72 : x
2. Step 2: Convert to fraction form
   1,038.66/2,258.72 = 2,258.72/x
3. Step 3: Cross multiply
   1,038.66x = 2,258.72 × 2,258.72
4. Step 4: Simplify right side
   1,038.66x = 5,101,810.39
5. Step 5: Solve for x
   x = 5,101,810.39/1,038.66
6. Step 6: Final answer
   x = 4,911.93