Finding the Third Proportional to 9,822 and 21,264

Step by Step Solution

1. Step 1: Write the proportion equation
   9,822 : 21,264 = 21,264 : x
2. Step 2: Convert to fraction form
   9,822/21,264 = 21,264/x
3. Step 3: Cross multiply
   9,822x = 21,264 × 21,264
4. Step 4: Simplify right side
   9,822x = 452,157,696
5. Step 5: Solve for x
   x = 452,157,696/9,822
6. Step 6: Final answer
   x = 46,035.20