Finding the Third Proportional to 16,406 and 35,920

Step by Step Solution

1. Step 1: Write the proportion equation
   16,406 : 35,920 = 35,920 : x
2. Step 2: Convert to fraction form
   16,406/35,920 = 35,920/x
3. Step 3: Cross multiply
   16,406x = 35,920 × 35,920
4. Step 4: Simplify right side
   16,406x = 1,290,246,400
5. Step 5: Solve for x
   x = 1,290,246,400/16,406
6. Step 6: Final answer
   x = 78,644.79