Finding the Third Proportional to 16,416 and 34,112

Step by Step Solution

1. Step 1: Write the proportion equation
   16,416 : 34,112 = 34,112 : x
2. Step 2: Convert to fraction form
   16,416/34,112 = 34,112/x
3. Step 3: Cross multiply
   16,416x = 34,112 × 34,112
4. Step 4: Simplify right side
   16,416x = 1,163,628,544
5. Step 5: Solve for x
   x = 1,163,628,544/16,416
6. Step 6: Final answer
   x = 70,883.81