Finding the Third Proportional to 16,185 and 35,367

Step by Step Solution

1. Step 1: Write the proportion equation
   16,185 : 35,367 = 35,367 : x
2. Step 2: Convert to fraction form
   16,185/35,367 = 35,367/x
3. Step 3: Cross multiply
   16,185x = 35,367 × 35,367
4. Step 4: Simplify right side
   16,185x = 1,250,824,689
5. Step 5: Solve for x
   x = 1,250,824,689/16,185
6. Step 6: Final answer
   x = 77,282.96