Finding the Third Proportional to 26,864 and 55,616

Step by Step Solution

1. Step 1: Write the proportion equation
   26,864 : 55,616 = 55,616 : x
2. Step 2: Convert to fraction form
   26,864/55,616 = 55,616/x
3. Step 3: Cross multiply
   26,864x = 55,616 × 55,616
4. Step 4: Simplify right side
   26,864x = 3,093,139,456
5. Step 5: Solve for x
   x = 3,093,139,456/26,864
6. Step 6: Final answer
   x = 115,140.69