Finding the Third Proportional to 16,435 and 35,665

Step by Step Solution

1. Step 1: Write the proportion equation
   16,435 : 35,665 = 35,665 : x
2. Step 2: Convert to fraction form
   16,435/35,665 = 35,665/x
3. Step 3: Cross multiply
   16,435x = 35,665 × 35,665
4. Step 4: Simplify right side
   16,435x = 1,271,992,225
5. Step 5: Solve for x
   x = 1,271,992,225/16,435
6. Step 6: Final answer
   x = 77,395.33