Finding the Third Proportional to 6,426 and 7,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,426 : 7,033.50 = 7,033.50 : x
2. Step 2: Convert to fraction form
   6,426/7,033.50 = 7,033.50/x
3. Step 3: Cross multiply
   6,426x = 7,033.50 × 7,033.50
4. Step 4: Simplify right side
   6,426x = 49,470,122.25
5. Step 5: Solve for x
   x = 49,470,122.25/6,426
6. Step 6: Final answer
   x = 7,698.43