Finding the Third Proportional to 16,284 and 35,685

Step by Step Solution

1. Step 1: Write the proportion equation
   16,284 : 35,685 = 35,685 : x
2. Step 2: Convert to fraction form
   16,284/35,685 = 35,685/x
3. Step 3: Cross multiply
   16,284x = 35,685 × 35,685
4. Step 4: Simplify right side
   16,284x = 1,273,419,225
5. Step 5: Solve for x
   x = 1,273,419,225/16,284
6. Step 6: Final answer
   x = 78,200.64