Finding the Third Proportional to 10,102 and 21,644

Step by Step Solution

1. Step 1: Write the proportion equation
   10,102 : 21,644 = 21,644 : x
2. Step 2: Convert to fraction form
   10,102/21,644 = 21,644/x
3. Step 3: Cross multiply
   10,102x = 21,644 × 21,644
4. Step 4: Simplify right side
   10,102x = 468,462,736
5. Step 5: Solve for x
   x = 468,462,736/10,102
6. Step 6: Final answer
   x = 46,373.27