Finding the Third Proportional to 10,178 and 21,676

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178 : 21,676 = 21,676 : x
2. Step 2: Convert to fraction form
   10,178/21,676 = 21,676/x
3. Step 3: Cross multiply
   10,178x = 21,676 × 21,676
4. Step 4: Simplify right side
   10,178x = 469,848,976
5. Step 5: Solve for x
   x = 469,848,976/10,178
6. Step 6: Final answer
   x = 46,163.19