Finding the Third Proportional to 10,022 and 13,521

Step by Step Solution

1. Step 1: Write the proportion equation
   10,022 : 13,521 = 13,521 : x
2. Step 2: Convert to fraction form
   10,022/13,521 = 13,521/x
3. Step 3: Cross multiply
   10,022x = 13,521 × 13,521
4. Step 4: Simplify right side
   10,022x = 182,817,441
5. Step 5: Solve for x
   x = 182,817,441/10,022
6. Step 6: Final answer
   x = 18,241.61