Finding the Third Proportional to 16,456 and 35,682

Step by Step Solution

1. Step 1: Write the proportion equation
   16,456 : 35,682 = 35,682 : x
2. Step 2: Convert to fraction form
   16,456/35,682 = 35,682/x
3. Step 3: Cross multiply
   16,456x = 35,682 × 35,682
4. Step 4: Simplify right side
   16,456x = 1,273,205,124
5. Step 5: Solve for x
   x = 1,273,205,124/16,456
6. Step 6: Final answer
   x = 77,370.27