Finding the Third Proportional to 16,586 and 35,044

Step by Step Solution

1. Step 1: Write the proportion equation
   16,586 : 35,044 = 35,044 : x
2. Step 2: Convert to fraction form
   16,586/35,044 = 35,044/x
3. Step 3: Cross multiply
   16,586x = 35,044 × 35,044
4. Step 4: Simplify right side
   16,586x = 1,228,081,936
5. Step 5: Solve for x
   x = 1,228,081,936/16,586
6. Step 6: Final answer
   x = 74,043.29