Finding the Third Proportional to 6,966 and 13,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,966 : 13,405.50 = 13,405.50 : x
2. Step 2: Convert to fraction form
   6,966/13,405.50 = 13,405.50/x
3. Step 3: Cross multiply
   6,966x = 13,405.50 × 13,405.50
4. Step 4: Simplify right side
   6,966x = 179,707,430.25
5. Step 5: Solve for x
   x = 179,707,430.25/6,966
6. Step 6: Final answer
   x = 25,797.79