Finding the Third Proportional to 16,735 and 34,857

Step by Step Solution

1. Step 1: Write the proportion equation
   16,735 : 34,857 = 34,857 : x
2. Step 2: Convert to fraction form
   16,735/34,857 = 34,857/x
3. Step 3: Cross multiply
   16,735x = 34,857 × 34,857
4. Step 4: Simplify right side
   16,735x = 1,215,010,449
5. Step 5: Solve for x
   x = 1,215,010,449/16,735
6. Step 6: Final answer
   x = 72,602.95