Finding the Third Proportional to 16,385 and 35,105

Step by Step Solution

1. Step 1: Write the proportion equation
   16,385 : 35,105 = 35,105 : x
2. Step 2: Convert to fraction form
   16,385/35,105 = 35,105/x
3. Step 3: Cross multiply
   16,385x = 35,105 × 35,105
4. Step 4: Simplify right side
   16,385x = 1,232,361,025
5. Step 5: Solve for x
   x = 1,232,361,025/16,385
6. Step 6: Final answer
   x = 75,212.76