Finding the Third Proportional to 17,822 and 25,228

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 25,228 = 25,228 : x
2. Step 2: Convert to fraction form
   17,822/25,228 = 25,228/x
3. Step 3: Cross multiply
   17,822x = 25,228 × 25,228
4. Step 4: Simplify right side
   17,822x = 636,451,984
5. Step 5: Solve for x
   x = 636,451,984/17,822
6. Step 6: Final answer
   x = 35,711.59