Finding the Third Proportional to 40,802 and 57,758

Step by Step Solution

1. Step 1: Write the proportion equation
   40,802 : 57,758 = 57,758 : x
2. Step 2: Convert to fraction form
   40,802/57,758 = 57,758/x
3. Step 3: Cross multiply
   40,802x = 57,758 × 57,758
4. Step 4: Simplify right side
   40,802x = 3,335,986,564
5. Step 5: Solve for x
   x = 3,335,986,564/40,802
6. Step 6: Final answer
   x = 81,760.37