Finding the Third Proportional to 27,894 and 42,494

Step by Step Solution

1. Step 1: Write the proportion equation
   27,894 : 42,494 = 42,494 : x
2. Step 2: Convert to fraction form
   27,894/42,494 = 42,494/x
3. Step 3: Cross multiply
   27,894x = 42,494 × 42,494
4. Step 4: Simplify right side
   27,894x = 1,805,740,036
5. Step 5: Solve for x
   x = 1,805,740,036/27,894
6. Step 6: Final answer
   x = 64,735.79