Finding the Third Proportional to 27,644 and 42,874

Step by Step Solution

1. Step 1: Write the proportion equation
   27,644 : 42,874 = 42,874 : x
2. Step 2: Convert to fraction form
   27,644/42,874 = 42,874/x
3. Step 3: Cross multiply
   27,644x = 42,874 × 42,874
4. Step 4: Simplify right side
   27,644x = 1,838,179,876
5. Step 5: Solve for x
   x = 1,838,179,876/27,644
6. Step 6: Final answer
   x = 66,494.71