Finding the Third Proportional to 40,980 and 86,756

Step by Step Solution

1. Step 1: Write the proportion equation
   40,980 : 86,756 = 86,756 : x
2. Step 2: Convert to fraction form
   40,980/86,756 = 86,756/x
3. Step 3: Cross multiply
   40,980x = 86,756 × 86,756
4. Step 4: Simplify right side
   40,980x = 7,526,603,536
5. Step 5: Solve for x
   x = 7,526,603,536/40,980
6. Step 6: Final answer
   x = 183,665.29