Finding the Third Proportional to 25,378 and 55,692

Step by Step Solution

1. Step 1: Write the proportion equation
   25,378 : 55,692 = 55,692 : x
2. Step 2: Convert to fraction form
   25,378/55,692 = 55,692/x
3. Step 3: Cross multiply
   25,378x = 55,692 × 55,692
4. Step 4: Simplify right side
   25,378x = 3,101,598,864
5. Step 5: Solve for x
   x = 3,101,598,864/25,378
6. Step 6: Final answer
   x = 122,216.05