Finding the Third Proportional to 2,258.44 and 4,663.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,258.44 : 4,663.69 = 4,663.69 : x
2. Step 2: Convert to fraction form
   2,258.44/4,663.69 = 4,663.69/x
3. Step 3: Cross multiply
   2,258.44x = 4,663.69 × 4,663.69
4. Step 4: Simplify right side
   2,258.44x = 21,749,981.10
5. Step 5: Solve for x
   x = 21,749,981.10/2,258.44
6. Step 6: Final answer
   x = 9,630.54