Finding the Third Proportional to 25,296 and 55,338

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296 : 55,338 = 55,338 : x
2. Step 2: Convert to fraction form
   25,296/55,338 = 55,338/x
3. Step 3: Cross multiply
   25,296x = 55,338 × 55,338
4. Step 4: Simplify right side
   25,296x = 3,062,294,244
5. Step 5: Solve for x
   x = 3,062,294,244/25,296
6. Step 6: Final answer
   x = 121,058.44