Finding the Third Proportional to 5,104.69 and 7,258.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,104.69 : 7,258.78 = 7,258.78 : x
2. Step 2: Convert to fraction form
   5,104.69/7,258.78 = 7,258.78/x
3. Step 3: Cross multiply
   5,104.69x = 7,258.78 × 7,258.78
4. Step 4: Simplify right side
   5,104.69x = 52,689,905.24
5. Step 5: Solve for x
   x = 52,689,905.24/5,104.69
6. Step 6: Final answer
   x = 10,321.87