Finding the Third Proportional to 6,257 and 13,828

Step by Step Solution

1. Step 1: Write the proportion equation
   6,257 : 13,828 = 13,828 : x
2. Step 2: Convert to fraction form
   6,257/13,828 = 13,828/x
3. Step 3: Cross multiply
   6,257x = 13,828 × 13,828
4. Step 4: Simplify right side
   6,257x = 191,213,584
5. Step 5: Solve for x
   x = 191,213,584/6,257
6. Step 6: Final answer
   x = 30,559.95