Finding the Third Proportional to 16,601 and 35,794

Step by Step Solution

1. Step 1: Write the proportion equation
   16,601 : 35,794 = 35,794 : x
2. Step 2: Convert to fraction form
   16,601/35,794 = 35,794/x
3. Step 3: Cross multiply
   16,601x = 35,794 × 35,794
4. Step 4: Simplify right side
   16,601x = 1,281,210,436
5. Step 5: Solve for x
   x = 1,281,210,436/16,601
6. Step 6: Final answer
   x = 77,176.70