Finding the Third Proportional to 27,605 and 42,824

Step by Step Solution

1. Step 1: Write the proportion equation
   27,605 : 42,824 = 42,824 : x
2. Step 2: Convert to fraction form
   27,605/42,824 = 42,824/x
3. Step 3: Cross multiply
   27,605x = 42,824 × 42,824
4. Step 4: Simplify right side
   27,605x = 1,833,894,976
5. Step 5: Solve for x
   x = 1,833,894,976/27,605
6. Step 6: Final answer
   x = 66,433.44