Finding the Third Proportional to 10,822 and 16,522

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 16,522 = 16,522 : x
2. Step 2: Convert to fraction form
   10,822/16,522 = 16,522/x
3. Step 3: Cross multiply
   10,822x = 16,522 × 16,522
4. Step 4: Simplify right side
   10,822x = 272,976,484
5. Step 5: Solve for x
   x = 272,976,484/10,822
6. Step 6: Final answer
   x = 25,224.22