Finding the Third Proportional to 16,405 and 35,143

Step by Step Solution

1. Step 1: Write the proportion equation
   16,405 : 35,143 = 35,143 : x
2. Step 2: Convert to fraction form
   16,405/35,143 = 35,143/x
3. Step 3: Cross multiply
   16,405x = 35,143 × 35,143
4. Step 4: Simplify right side
   16,405x = 1,235,030,449
5. Step 5: Solve for x
   x = 1,235,030,449/16,405
6. Step 6: Final answer
   x = 75,283.78