Finding the Third Proportional to 40,676 and 58,044

Step by Step Solution

1. Step 1: Write the proportion equation
   40,676 : 58,044 = 58,044 : x
2. Step 2: Convert to fraction form
   40,676/58,044 = 58,044/x
3. Step 3: Cross multiply
   40,676x = 58,044 × 58,044
4. Step 4: Simplify right side
   40,676x = 3,369,105,936
5. Step 5: Solve for x
   x = 3,369,105,936/40,676
6. Step 6: Final answer
   x = 82,827.86