Finding the Third Proportional to 6,896 and 10,020

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 10,020 = 10,020 : x
2. Step 2: Convert to fraction form
   6,896/10,020 = 10,020/x
3. Step 3: Cross multiply
   6,896x = 10,020 × 10,020
4. Step 4: Simplify right side
   6,896x = 100,400,400
5. Step 5: Solve for x
   x = 100,400,400/6,896
6. Step 6: Final answer
   x = 14,559.22