Finding the Third Proportional to 6,896 and 10,820

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 10,820 = 10,820 : x
2. Step 2: Convert to fraction form
   6,896/10,820 = 10,820/x
3. Step 3: Cross multiply
   6,896x = 10,820 × 10,820
4. Step 4: Simplify right side
   6,896x = 117,072,400
5. Step 5: Solve for x
   x = 117,072,400/6,896
6. Step 6: Final answer
   x = 16,976.86