Finding the Third Proportional to 6,285 and 13,434

Step by Step Solution

1. Step 1: Write the proportion equation
   6,285 : 13,434 = 13,434 : x
2. Step 2: Convert to fraction form
   6,285/13,434 = 13,434/x
3. Step 3: Cross multiply
   6,285x = 13,434 × 13,434
4. Step 4: Simplify right side
   6,285x = 180,472,356
5. Step 5: Solve for x
   x = 180,472,356/6,285
6. Step 6: Final answer
   x = 28,714.77