Finding the Third Proportional to 6,417 and 13,578

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417 : 13,578 = 13,578 : x
2. Step 2: Convert to fraction form
   6,417/13,578 = 13,578/x
3. Step 3: Cross multiply
   6,417x = 13,578 × 13,578
4. Step 4: Simplify right side
   6,417x = 184,362,084
5. Step 5: Solve for x
   x = 184,362,084/6,417
6. Step 6: Final answer
   x = 28,730.26