Finding the Third Proportional to 22,642 and 34,449

Step by Step Solution

1. Step 1: Write the proportion equation
   22,642 : 34,449 = 34,449 : x
2. Step 2: Convert to fraction form
   22,642/34,449 = 34,449/x
3. Step 3: Cross multiply
   22,642x = 34,449 × 34,449
4. Step 4: Simplify right side
   22,642x = 1,186,733,601
5. Step 5: Solve for x
   x = 1,186,733,601/22,642
6. Step 6: Final answer
   x = 52,412.93