Finding the Third Proportional to 10,574 and 13,907

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574 : 13,907 = 13,907 : x
2. Step 2: Convert to fraction form
   10,574/13,907 = 13,907/x
3. Step 3: Cross multiply
   10,574x = 13,907 × 13,907
4. Step 4: Simplify right side
   10,574x = 193,404,649
5. Step 5: Solve for x
   x = 193,404,649/10,574
6. Step 6: Final answer
   x = 18,290.59