Finding the Third Proportional to 6,507 and 13,258.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,507 : 13,258.69 = 13,258.69 : x
2. Step 2: Convert to fraction form
   6,507/13,258.69 = 13,258.69/x
3. Step 3: Cross multiply
   6,507x = 13,258.69 × 13,258.69
4. Step 4: Simplify right side
   6,507x = 175,792,794.22
5. Step 5: Solve for x
   x = 175,792,794.22/6,507
6. Step 6: Final answer
   x = 27,015.95