Finding the Third Proportional to 6,200 and 12,832

Step by Step Solution

1. Step 1: Write the proportion equation
   6,200 : 12,832 = 12,832 : x
2. Step 2: Convert to fraction form
   6,200/12,832 = 12,832/x
3. Step 3: Cross multiply
   6,200x = 12,832 × 12,832
4. Step 4: Simplify right side
   6,200x = 164,660,224
5. Step 5: Solve for x
   x = 164,660,224/6,200
6. Step 6: Final answer
   x = 26,558.10