Finding the Third Proportional to 7,144 and 10,459

Step by Step Solution

1. Step 1: Write the proportion equation
   7,144 : 10,459 = 10,459 : x
2. Step 2: Convert to fraction form
   7,144/10,459 = 10,459/x
3. Step 3: Cross multiply
   7,144x = 10,459 × 10,459
4. Step 4: Simplify right side
   7,144x = 109,390,681
5. Step 5: Solve for x
   x = 109,390,681/7,144
6. Step 6: Final answer
   x = 15,312.25