Finding the Third Proportional to 25,851 and 54,774

Step by Step Solution

1. Step 1: Write the proportion equation
   25,851 : 54,774 = 54,774 : x
2. Step 2: Convert to fraction form
   25,851/54,774 = 54,774/x
3. Step 3: Cross multiply
   25,851x = 54,774 × 54,774
4. Step 4: Simplify right side
   25,851x = 3,000,191,076
5. Step 5: Solve for x
   x = 3,000,191,076/25,851
6. Step 6: Final answer
   x = 116,057.06