Finding the Third Proportional to 25,909 and 54,164

Step by Step Solution

1. Step 1: Write the proportion equation
   25,909 : 54,164 = 54,164 : x
2. Step 2: Convert to fraction form
   25,909/54,164 = 54,164/x
3. Step 3: Cross multiply
   25,909x = 54,164 × 54,164
4. Step 4: Simplify right side
   25,909x = 2,933,738,896
5. Step 5: Solve for x
   x = 2,933,738,896/25,909
6. Step 6: Final answer
   x = 113,232.42