Finding the Third Proportional to 25,740 and 55,557

Step by Step Solution

1. Step 1: Write the proportion equation
   25,740 : 55,557 = 55,557 : x
2. Step 2: Convert to fraction form
   25,740/55,557 = 55,557/x
3. Step 3: Cross multiply
   25,740x = 55,557 × 55,557
4. Step 4: Simplify right side
   25,740x = 3,086,580,249
5. Step 5: Solve for x
   x = 3,086,580,249/25,740
6. Step 6: Final answer
   x = 119,913.76