Finding the Third Proportional to 10,177 and 21,453

Step by Step Solution

1. Step 1: Write the proportion equation
   10,177 : 21,453 = 21,453 : x
2. Step 2: Convert to fraction form
   10,177/21,453 = 21,453/x
3. Step 3: Cross multiply
   10,177x = 21,453 × 21,453
4. Step 4: Simplify right side
   10,177x = 460,231,209
5. Step 5: Solve for x
   x = 460,231,209/10,177
6. Step 6: Final answer
   x = 45,222.68