Finding the Third Proportional to 6,417 and 13,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,417 : 13,264.50 = 13,264.50 : x
2. Step 2: Convert to fraction form
   6,417/13,264.50 = 13,264.50/x
3. Step 3: Cross multiply
   6,417x = 13,264.50 × 13,264.50
4. Step 4: Simplify right side
   6,417x = 175,946,960.25
5. Step 5: Solve for x
   x = 175,946,960.25/6,417
6. Step 6: Final answer
   x = 27,418.88