Finding the Third Proportional to 25,836 and 54,780

Step by Step Solution

1. Step 1: Write the proportion equation
   25,836 : 54,780 = 54,780 : x
2. Step 2: Convert to fraction form
   25,836/54,780 = 54,780/x
3. Step 3: Cross multiply
   25,836x = 54,780 × 54,780
4. Step 4: Simplify right side
   25,836x = 3,000,848,400
5. Step 5: Solve for x
   x = 3,000,848,400/25,836
6. Step 6: Final answer
   x = 116,149.88