Finding the Third Proportional to 10,578 and 14,109

Step by Step Solution

1. Step 1: Write the proportion equation
   10,578 : 14,109 = 14,109 : x
2. Step 2: Convert to fraction form
   10,578/14,109 = 14,109/x
3. Step 3: Cross multiply
   10,578x = 14,109 × 14,109
4. Step 4: Simplify right side
   10,578x = 199,063,881
5. Step 5: Solve for x
   x = 199,063,881/10,578
6. Step 6: Final answer
   x = 18,818.67