Finding the Third Proportional to 16,896 and 37,176

Step by Step Solution

1. Step 1: Write the proportion equation
   16,896 : 37,176 = 37,176 : x
2. Step 2: Convert to fraction form
   16,896/37,176 = 37,176/x
3. Step 3: Cross multiply
   16,896x = 37,176 × 37,176
4. Step 4: Simplify right side
   16,896x = 1,382,054,976
5. Step 5: Solve for x
   x = 1,382,054,976/16,896
6. Step 6: Final answer
   x = 81,797.76