Finding the Third Proportional to 10,518 and 17,775

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518 : 17,775 = 17,775 : x
2. Step 2: Convert to fraction form
   10,518/17,775 = 17,775/x
3. Step 3: Cross multiply
   10,518x = 17,775 × 17,775
4. Step 4: Simplify right side
   10,518x = 315,950,625
5. Step 5: Solve for x
   x = 315,950,625/10,518
6. Step 6: Final answer
   x = 30,039.04