Finding the Third Proportional to 6,434 and 13,380

Step by Step Solution

1. Step 1: Write the proportion equation
   6,434 : 13,380 = 13,380 : x
2. Step 2: Convert to fraction form
   6,434/13,380 = 13,380/x
3. Step 3: Cross multiply
   6,434x = 13,380 × 13,380
4. Step 4: Simplify right side
   6,434x = 179,024,400
5. Step 5: Solve for x
   x = 179,024,400/6,434
6. Step 6: Final answer
   x = 27,824.74