Finding the Third Proportional to 39,606 and 57,627

Step by Step Solution

1. Step 1: Write the proportion equation
   39,606 : 57,627 = 57,627 : x
2. Step 2: Convert to fraction form
   39,606/57,627 = 57,627/x
3. Step 3: Cross multiply
   39,606x = 57,627 × 57,627
4. Step 4: Simplify right side
   39,606x = 3,320,871,129
5. Step 5: Solve for x
   x = 3,320,871,129/39,606
6. Step 6: Final answer
   x = 83,847.68