Finding the Third Proportional to 25,176 and 55,320

Step by Step Solution

1. Step 1: Write the proportion equation
   25,176 : 55,320 = 55,320 : x
2. Step 2: Convert to fraction form
   25,176/55,320 = 55,320/x
3. Step 3: Cross multiply
   25,176x = 55,320 × 55,320
4. Step 4: Simplify right side
   25,176x = 3,060,302,400
5. Step 5: Solve for x
   x = 3,060,302,400/25,176
6. Step 6: Final answer
   x = 121,556.34