Finding the Third Proportional to 16,400 and 35,914

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 35,914 = 35,914 : x
2. Step 2: Convert to fraction form
   16,400/35,914 = 35,914/x
3. Step 3: Cross multiply
   16,400x = 35,914 × 35,914
4. Step 4: Simplify right side
   16,400x = 1,289,815,396
5. Step 5: Solve for x
   x = 1,289,815,396/16,400
6. Step 6: Final answer
   x = 78,647.28