Finding the Third Proportional to 40,769 and 58,165

Step by Step Solution

1. Step 1: Write the proportion equation
   40,769 : 58,165 = 58,165 : x
2. Step 2: Convert to fraction form
   40,769/58,165 = 58,165/x
3. Step 3: Cross multiply
   40,769x = 58,165 × 58,165
4. Step 4: Simplify right side
   40,769x = 3,383,167,225
5. Step 5: Solve for x
   x = 3,383,167,225/40,769
6. Step 6: Final answer
   x = 82,983.82