Finding the Third Proportional to 26,966 and 59,116

Step by Step Solution

1. Step 1: Write the proportion equation
   26,966 : 59,116 = 59,116 : x
2. Step 2: Convert to fraction form
   26,966/59,116 = 59,116/x
3. Step 3: Cross multiply
   26,966x = 59,116 × 59,116
4. Step 4: Simplify right side
   26,966x = 3,494,701,456
5. Step 5: Solve for x
   x = 3,494,701,456/26,966
6. Step 6: Final answer
   x = 129,596.58