Finding the Third Proportional to 40,266 and 57,772

Step by Step Solution

1. Step 1: Write the proportion equation
   40,266 : 57,772 = 57,772 : x
2. Step 2: Convert to fraction form
   40,266/57,772 = 57,772/x
3. Step 3: Cross multiply
   40,266x = 57,772 × 57,772
4. Step 4: Simplify right side
   40,266x = 3,337,603,984
5. Step 5: Solve for x
   x = 3,337,603,984/40,266
6. Step 6: Final answer
   x = 82,888.89