Finding the Third Proportional to 10,128 and 21,174

Step by Step Solution

1. Step 1: Write the proportion equation
   10,128 : 21,174 = 21,174 : x
2. Step 2: Convert to fraction form
   10,128/21,174 = 21,174/x
3. Step 3: Cross multiply
   10,128x = 21,174 × 21,174
4. Step 4: Simplify right side
   10,128x = 448,338,276
5. Step 5: Solve for x
   x = 448,338,276/10,128
6. Step 6: Final answer
   x = 44,267.21