Finding the Third Proportional to 16,605 and 35,801

Step by Step Solution

1. Step 1: Write the proportion equation
   16,605 : 35,801 = 35,801 : x
2. Step 2: Convert to fraction form
   16,605/35,801 = 35,801/x
3. Step 3: Cross multiply
   16,605x = 35,801 × 35,801
4. Step 4: Simplify right side
   16,605x = 1,281,711,601
5. Step 5: Solve for x
   x = 1,281,711,601/16,605
6. Step 6: Final answer
   x = 77,188.29