Finding the Third Proportional to 25,841 and 56,164

Step by Step Solution

1. Step 1: Write the proportion equation
   25,841 : 56,164 = 56,164 : x
2. Step 2: Convert to fraction form
   25,841/56,164 = 56,164/x
3. Step 3: Cross multiply
   25,841x = 56,164 × 56,164
4. Step 4: Simplify right side
   25,841x = 3,154,394,896
5. Step 5: Solve for x
   x = 3,154,394,896/25,841
6. Step 6: Final answer
   x = 122,069.38