Finding the Third Proportional to 6,692 and 10,019

Step by Step Solution

1. Step 1: Write the proportion equation
   6,692 : 10,019 = 10,019 : x
2. Step 2: Convert to fraction form
   6,692/10,019 = 10,019/x
3. Step 3: Cross multiply
   6,692x = 10,019 × 10,019
4. Step 4: Simplify right side
   6,692x = 100,380,361
5. Step 5: Solve for x
   x = 100,380,361/6,692
6. Step 6: Final answer
   x = 15,000.05