Finding the Third Proportional to 26,212 and 55,384

Step by Step Solution

1. Step 1: Write the proportion equation
   26,212 : 55,384 = 55,384 : x
2. Step 2: Convert to fraction form
   26,212/55,384 = 55,384/x
3. Step 3: Cross multiply
   26,212x = 55,384 × 55,384
4. Step 4: Simplify right side
   26,212x = 3,067,387,456
5. Step 5: Solve for x
   x = 3,067,387,456/26,212
6. Step 6: Final answer
   x = 117,022.26