Finding the Third Proportional to 16,094 and 35,874

Step by Step Solution

1. Step 1: Write the proportion equation
   16,094 : 35,874 = 35,874 : x
2. Step 2: Convert to fraction form
   16,094/35,874 = 35,874/x
3. Step 3: Cross multiply
   16,094x = 35,874 × 35,874
4. Step 4: Simplify right side
   16,094x = 1,286,943,876
5. Step 5: Solve for x
   x = 1,286,943,876/16,094
6. Step 6: Final answer
   x = 79,964.20