Finding the Third Proportional to 6,427.25 and 13,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,427.25 : 13,033.50 = 13,033.50 : x
2. Step 2: Convert to fraction form
   6,427.25/13,033.50 = 13,033.50/x
3. Step 3: Cross multiply
   6,427.25x = 13,033.50 × 13,033.50
4. Step 4: Simplify right side
   6,427.25x = 169,872,122.25
5. Step 5: Solve for x
   x = 169,872,122.25/6,427.25
6. Step 6: Final answer
   x = 26,429.99