Finding the Third Proportional to 16,096 and 21,174

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096 : 21,174 = 21,174 : x
2. Step 2: Convert to fraction form
   16,096/21,174 = 21,174/x
3. Step 3: Cross multiply
   16,096x = 21,174 × 21,174
4. Step 4: Simplify right side
   16,096x = 448,338,276
5. Step 5: Solve for x
   x = 448,338,276/16,096
6. Step 6: Final answer
   x = 27,854.02