Finding the Third Proportional to 25,296 and 55,272

Step by Step Solution

1. Step 1: Write the proportion equation
   25,296 : 55,272 = 55,272 : x
2. Step 2: Convert to fraction form
   25,296/55,272 = 55,272/x
3. Step 3: Cross multiply
   25,296x = 55,272 × 55,272
4. Step 4: Simplify right side
   25,296x = 3,054,993,984
5. Step 5: Solve for x
   x = 3,054,993,984/25,296
6. Step 6: Final answer
   x = 120,769.84