Finding the Third Proportional to 25,705 and 55,774

Step by Step Solution

1. Step 1: Write the proportion equation
   25,705 : 55,774 = 55,774 : x
2. Step 2: Convert to fraction form
   25,705/55,774 = 55,774/x
3. Step 3: Cross multiply
   25,705x = 55,774 × 55,774
4. Step 4: Simplify right side
   25,705x = 3,110,739,076
5. Step 5: Solve for x
   x = 3,110,739,076/25,705
6. Step 6: Final answer
   x = 121,016.89