Finding the Third Proportional to 16,471 and 35,533

Step by Step Solution

1. Step 1: Write the proportion equation
   16,471 : 35,533 = 35,533 : x
2. Step 2: Convert to fraction form
   16,471/35,533 = 35,533/x
3. Step 3: Cross multiply
   16,471x = 35,533 × 35,533
4. Step 4: Simplify right side
   16,471x = 1,262,594,089
5. Step 5: Solve for x
   x = 1,262,594,089/16,471
6. Step 6: Final answer
   x = 76,655.58