Finding the Third Proportional to 6,414 and 10,471

Step by Step Solution

1. Step 1: Write the proportion equation
   6,414 : 10,471 = 10,471 : x
2. Step 2: Convert to fraction form
   6,414/10,471 = 10,471/x
3. Step 3: Cross multiply
   6,414x = 10,471 × 10,471
4. Step 4: Simplify right side
   6,414x = 109,641,841
5. Step 5: Solve for x
   x = 109,641,841/6,414
6. Step 6: Final answer
   x = 17,094.14