Finding the Third Proportional to 10,176 and 21,156

Step by Step Solution

1. Step 1: Write the proportion equation
   10,176 : 21,156 = 21,156 : x
2. Step 2: Convert to fraction form
   10,176/21,156 = 21,156/x
3. Step 3: Cross multiply
   10,176x = 21,156 × 21,156
4. Step 4: Simplify right side
   10,176x = 447,576,336
5. Step 5: Solve for x
   x = 447,576,336/10,176
6. Step 6: Final answer
   x = 43,983.52