Finding the Third Proportional to 25,596 and 55,480

Step by Step Solution

1. Step 1: Write the proportion equation
   25,596 : 55,480 = 55,480 : x
2. Step 2: Convert to fraction form
   25,596/55,480 = 55,480/x
3. Step 3: Cross multiply
   25,596x = 55,480 × 55,480
4. Step 4: Simplify right side
   25,596x = 3,078,030,400
5. Step 5: Solve for x
   x = 3,078,030,400/25,596
6. Step 6: Final answer
   x = 120,254.35