Finding the Third Proportional to 25,899 and 55,574

Step by Step Solution

1. Step 1: Write the proportion equation
   25,899 : 55,574 = 55,574 : x
2. Step 2: Convert to fraction form
   25,899/55,574 = 55,574/x
3. Step 3: Cross multiply
   25,899x = 55,574 × 55,574
4. Step 4: Simplify right side
   25,899x = 3,088,469,476
5. Step 5: Solve for x
   x = 3,088,469,476/25,899
6. Step 6: Final answer
   x = 119,250.53