Finding the Third Proportional to 7,732 and 12,822

Step by Step Solution

1. Step 1: Write the proportion equation
   7,732 : 12,822 = 12,822 : x
2. Step 2: Convert to fraction form
   7,732/12,822 = 12,822/x
3. Step 3: Cross multiply
   7,732x = 12,822 × 12,822
4. Step 4: Simplify right side
   7,732x = 164,403,684
5. Step 5: Solve for x
   x = 164,403,684/7,732
6. Step 6: Final answer
   x = 21,262.76