Finding the Third Proportional to 6,275 and 13,414

Step by Step Solution

1. Step 1: Write the proportion equation
   6,275 : 13,414 = 13,414 : x
2. Step 2: Convert to fraction form
   6,275/13,414 = 13,414/x
3. Step 3: Cross multiply
   6,275x = 13,414 × 13,414
4. Step 4: Simplify right side
   6,275x = 179,935,396
5. Step 5: Solve for x
   x = 179,935,396/6,275
6. Step 6: Final answer
   x = 28,674.96