Finding the Third Proportional to 17,409 and 35,740

Step by Step Solution

1. Step 1: Write the proportion equation
   17,409 : 35,740 = 35,740 : x
2. Step 2: Convert to fraction form
   17,409/35,740 = 35,740/x
3. Step 3: Cross multiply
   17,409x = 35,740 × 35,740
4. Step 4: Simplify right side
   17,409x = 1,277,347,600
5. Step 5: Solve for x
   x = 1,277,347,600/17,409
6. Step 6: Final answer
   x = 73,372.83