Finding the Third Proportional to 27,706 and 41,548.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,706 : 41,548.25 = 41,548.25 : x
2. Step 2: Convert to fraction form
   27,706/41,548.25 = 41,548.25/x
3. Step 3: Cross multiply
   27,706x = 41,548.25 × 41,548.25
4. Step 4: Simplify right side
   27,706x = 1,726,257,078.06
5. Step 5: Solve for x
   x = 1,726,257,078.06/27,706
6. Step 6: Final answer
   x = 62,306.25