Finding the Third Proportional to 25,886 and 55,164

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 55,164 = 55,164 : x
2. Step 2: Convert to fraction form
   25,886/55,164 = 55,164/x
3. Step 3: Cross multiply
   25,886x = 55,164 × 55,164
4. Step 4: Simplify right side
   25,886x = 3,043,066,896
5. Step 5: Solve for x
   x = 3,043,066,896/25,886
6. Step 6: Final answer
   x = 117,556.47