Finding the Third Proportional to 16,471 and 35,006

Step by Step Solution

1. Step 1: Write the proportion equation
   16,471 : 35,006 = 35,006 : x
2. Step 2: Convert to fraction form
   16,471/35,006 = 35,006/x
3. Step 3: Cross multiply
   16,471x = 35,006 × 35,006
4. Step 4: Simplify right side
   16,471x = 1,225,420,036
5. Step 5: Solve for x
   x = 1,225,420,036/16,471
6. Step 6: Final answer
   x = 74,398.64