Finding the Third Proportional to 10,518 and 17,529

Step by Step Solution

1. Step 1: Write the proportion equation
   10,518 : 17,529 = 17,529 : x
2. Step 2: Convert to fraction form
   10,518/17,529 = 17,529/x
3. Step 3: Cross multiply
   10,518x = 17,529 × 17,529
4. Step 4: Simplify right side
   10,518x = 307,265,841
5. Step 5: Solve for x
   x = 307,265,841/10,518
6. Step 6: Final answer
   x = 29,213.33