Finding the Third Proportional to 25,578 and 55,652

Step by Step Solution

1. Step 1: Write the proportion equation
   25,578 : 55,652 = 55,652 : x
2. Step 2: Convert to fraction form
   25,578/55,652 = 55,652/x
3. Step 3: Cross multiply
   25,578x = 55,652 × 55,652
4. Step 4: Simplify right side
   25,578x = 3,097,145,104
5. Step 5: Solve for x
   x = 3,097,145,104/25,578
6. Step 6: Final answer
   x = 121,086.29