Finding the Third Proportional to 6,434 and 13,960

Step by Step Solution

1. Step 1: Write the proportion equation
   6,434 : 13,960 = 13,960 : x
2. Step 2: Convert to fraction form
   6,434/13,960 = 13,960/x
3. Step 3: Cross multiply
   6,434x = 13,960 × 13,960
4. Step 4: Simplify right side
   6,434x = 194,881,600
5. Step 5: Solve for x
   x = 194,881,600/6,434
6. Step 6: Final answer
   x = 30,289.34