Finding the Third Proportional to 27,678 and 42,333

Step by Step Solution

1. Step 1: Write the proportion equation
   27,678 : 42,333 = 42,333 : x
2. Step 2: Convert to fraction form
   27,678/42,333 = 42,333/x
3. Step 3: Cross multiply
   27,678x = 42,333 × 42,333
4. Step 4: Simplify right side
   27,678x = 1,792,082,889
5. Step 5: Solve for x
   x = 1,792,082,889/27,678
6. Step 6: Final answer
   x = 64,747.56