Finding the Third Proportional to 16,646 and 35,740

Step by Step Solution

1. Step 1: Write the proportion equation
   16,646 : 35,740 = 35,740 : x
2. Step 2: Convert to fraction form
   16,646/35,740 = 35,740/x
3. Step 3: Cross multiply
   16,646x = 35,740 × 35,740
4. Step 4: Simplify right side
   16,646x = 1,277,347,600
5. Step 5: Solve for x
   x = 1,277,347,600/16,646
6. Step 6: Final answer
   x = 76,736.01