Finding the Third Proportional to 8,258.63 and 10,801.69

Step by Step Solution

1. Step 1: Write the proportion equation
   8,258.63 : 10,801.69 = 10,801.69 : x
2. Step 2: Convert to fraction form
   8,258.63/10,801.69 = 10,801.69/x
3. Step 3: Cross multiply
   8,258.63x = 10,801.69 × 10,801.69
4. Step 4: Simplify right side
   8,258.63x = 116,676,452.85
5. Step 5: Solve for x
   x = 116,676,452.85/8,258.63
6. Step 6: Final answer
   x = 14,127.83