Finding the Third Proportional to 27,746 and 42,551

Step by Step Solution

1. Step 1: Write the proportion equation
   27,746 : 42,551 = 42,551 : x
2. Step 2: Convert to fraction form
   27,746/42,551 = 42,551/x
3. Step 3: Cross multiply
   27,746x = 42,551 × 42,551
4. Step 4: Simplify right side
   27,746x = 1,810,587,601
5. Step 5: Solve for x
   x = 1,810,587,601/27,746
6. Step 6: Final answer
   x = 65,255.81