Finding the Third Proportional to 16,176 and 38,112

Step by Step Solution

1. Step 1: Write the proportion equation
   16,176 : 38,112 = 38,112 : x
2. Step 2: Convert to fraction form
   16,176/38,112 = 38,112/x
3. Step 3: Cross multiply
   16,176x = 38,112 × 38,112
4. Step 4: Simplify right side
   16,176x = 1,452,524,544
5. Step 5: Solve for x
   x = 1,452,524,544/16,176
6. Step 6: Final answer
   x = 89,795.04