Finding the Third Proportional to 6,418.50 and 9,601.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,418.50 : 9,601.50 = 9,601.50 : x
2. Step 2: Convert to fraction form
   6,418.50/9,601.50 = 9,601.50/x
3. Step 3: Cross multiply
   6,418.50x = 9,601.50 × 9,601.50
4. Step 4: Simplify right side
   6,418.50x = 92,188,802.25
5. Step 5: Solve for x
   x = 92,188,802.25/6,418.50
6. Step 6: Final answer
   x = 14,362.98