Finding the Third Proportional to 26,016 and 55,272

Step by Step Solution

1. Step 1: Write the proportion equation
   26,016 : 55,272 = 55,272 : x
2. Step 2: Convert to fraction form
   26,016/55,272 = 55,272/x
3. Step 3: Cross multiply
   26,016x = 55,272 × 55,272
4. Step 4: Simplify right side
   26,016x = 3,054,993,984
5. Step 5: Solve for x
   x = 3,054,993,984/26,016
6. Step 6: Final answer
   x = 117,427.51