Finding the Third Proportional to 25,768 and 55,800

Step by Step Solution

1. Step 1: Write the proportion equation
   25,768 : 55,800 = 55,800 : x
2. Step 2: Convert to fraction form
   25,768/55,800 = 55,800/x
3. Step 3: Cross multiply
   25,768x = 55,800 × 55,800
4. Step 4: Simplify right side
   25,768x = 3,113,640,000
5. Step 5: Solve for x
   x = 3,113,640,000/25,768
6. Step 6: Final answer
   x = 120,833.59