Finding the Third Proportional to 16,299 and 35,766

Step by Step Solution

1. Step 1: Write the proportion equation
   16,299 : 35,766 = 35,766 : x
2. Step 2: Convert to fraction form
   16,299/35,766 = 35,766/x
3. Step 3: Cross multiply
   16,299x = 35,766 × 35,766
4. Step 4: Simplify right side
   16,299x = 1,279,206,756
5. Step 5: Solve for x
   x = 1,279,206,756/16,299
6. Step 6: Final answer
   x = 78,483.76