Finding the Third Proportional to 16,344 and 35,695

Step by Step Solution

1. Step 1: Write the proportion equation
   16,344 : 35,695 = 35,695 : x
2. Step 2: Convert to fraction form
   16,344/35,695 = 35,695/x
3. Step 3: Cross multiply
   16,344x = 35,695 × 35,695
4. Step 4: Simplify right side
   16,344x = 1,274,133,025
5. Step 5: Solve for x
   x = 1,274,133,025/16,344
6. Step 6: Final answer
   x = 77,957.23