Finding the Third Proportional to 22,822 and 34,544

Step by Step Solution

1. Step 1: Write the proportion equation
   22,822 : 34,544 = 34,544 : x
2. Step 2: Convert to fraction form
   22,822/34,544 = 34,544/x
3. Step 3: Cross multiply
   22,822x = 34,544 × 34,544
4. Step 4: Simplify right side
   22,822x = 1,193,287,936
5. Step 5: Solve for x
   x = 1,193,287,936/22,822
6. Step 6: Final answer
   x = 52,286.74