Finding the Third Proportional to 6,896 and 12,320

Step by Step Solution

1. Step 1: Write the proportion equation
   6,896 : 12,320 = 12,320 : x
2. Step 2: Convert to fraction form
   6,896/12,320 = 12,320/x
3. Step 3: Cross multiply
   6,896x = 12,320 × 12,320
4. Step 4: Simplify right side
   6,896x = 151,782,400
5. Step 5: Solve for x
   x = 151,782,400/6,896
6. Step 6: Final answer
   x = 22,010.21