Finding the Third Proportional to 5,725.69 and 13,258.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,725.69 : 13,258.69 = 13,258.69 : x
2. Step 2: Convert to fraction form
   5,725.69/13,258.69 = 13,258.69/x
3. Step 3: Cross multiply
   5,725.69x = 13,258.69 × 13,258.69
4. Step 4: Simplify right side
   5,725.69x = 175,792,794.22
5. Step 5: Solve for x
   x = 175,792,794.22/5,725.69
6. Step 6: Final answer
   x = 30,702.48