Finding the Third Proportional to 6,257.25 and 13,297.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,257.25 : 13,297.50 = 13,297.50 : x
2. Step 2: Convert to fraction form
   6,257.25/13,297.50 = 13,297.50/x
3. Step 3: Cross multiply
   6,257.25x = 13,297.50 × 13,297.50
4. Step 4: Simplify right side
   6,257.25x = 176,823,506.25
5. Step 5: Solve for x
   x = 176,823,506.25/6,257.25
6. Step 6: Final answer
   x = 28,258.98