Finding the Third Proportional to 9,744 and 21,152

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744 : 21,152 = 21,152 : x
2. Step 2: Convert to fraction form
   9,744/21,152 = 21,152/x
3. Step 3: Cross multiply
   9,744x = 21,152 × 21,152
4. Step 4: Simplify right side
   9,744x = 447,407,104
5. Step 5: Solve for x
   x = 447,407,104/9,744
6. Step 6: Final answer
   x = 45,916.16