Finding the Third Proportional to 16,620 and 35,849

Step by Step Solution

1. Step 1: Write the proportion equation
   16,620 : 35,849 = 35,849 : x
2. Step 2: Convert to fraction form
   16,620/35,849 = 35,849/x
3. Step 3: Cross multiply
   16,620x = 35,849 × 35,849
4. Step 4: Simplify right side
   16,620x = 1,285,150,801
5. Step 5: Solve for x
   x = 1,285,150,801/16,620
6. Step 6: Final answer
   x = 77,325.56