Finding the Third Proportional to 10,442 and 21,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,442 : 21,164 = 21,164 : x
2. Step 2: Convert to fraction form
   10,442/21,164 = 21,164/x
3. Step 3: Cross multiply
   10,442x = 21,164 × 21,164
4. Step 4: Simplify right side
   10,442x = 447,914,896
5. Step 5: Solve for x
   x = 447,914,896/10,442
6. Step 6: Final answer
   x = 42,895.51