Finding the Third Proportional to 25,742 and 55,828

Step by Step Solution

1. Step 1: Write the proportion equation
   25,742 : 55,828 = 55,828 : x
2. Step 2: Convert to fraction form
   25,742/55,828 = 55,828/x
3. Step 3: Cross multiply
   25,742x = 55,828 × 55,828
4. Step 4: Simplify right side
   25,742x = 3,116,765,584
5. Step 5: Solve for x
   x = 3,116,765,584/25,742
6. Step 6: Final answer
   x = 121,077.06