Finding the Third Proportional to 10,258 and 14,669

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258 : 14,669 = 14,669 : x
2. Step 2: Convert to fraction form
   10,258/14,669 = 14,669/x
3. Step 3: Cross multiply
   10,258x = 14,669 × 14,669
4. Step 4: Simplify right side
   10,258x = 215,179,561
5. Step 5: Solve for x
   x = 215,179,561/10,258
6. Step 6: Final answer
   x = 20,976.76