Finding the Third Proportional to 7,538 and 10,022

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538 : 10,022 = 10,022 : x
2. Step 2: Convert to fraction form
   7,538/10,022 = 10,022/x
3. Step 3: Cross multiply
   7,538x = 10,022 × 10,022
4. Step 4: Simplify right side
   7,538x = 100,440,484
5. Step 5: Solve for x
   x = 100,440,484/7,538
6. Step 6: Final answer
   x = 13,324.55