Finding the Third Proportional to 22,824 and 34,164

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 34,164 = 34,164 : x
2. Step 2: Convert to fraction form
   22,824/34,164 = 34,164/x
3. Step 3: Cross multiply
   22,824x = 34,164 × 34,164
4. Step 4: Simplify right side
   22,824x = 1,167,178,896
5. Step 5: Solve for x
   x = 1,167,178,896/22,824
6. Step 6: Final answer
   x = 51,138.23