Finding the Third Proportional to 16,096 and 35,488

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 35,488 = 35,488 : x
2. Step 2: Convert to fraction form
   16,096/35,488 = 35,488/x
3. Step 3: Cross multiply
   16,096x = 35,488 × 35,488
4. Step 4: Simplify right side
   16,096x = 1,259,398,144
5. Step 5: Solve for x
   x = 1,259,398,144/16,096
6. Step 6: Final answer
   x = 78,242.93