Finding the Third Proportional to 25,565 and 55,914

Step by Step Solution

1. Step 1: Write the proportion equation
   25,565 : 55,914 = 55,914 : x
2. Step 2: Convert to fraction form
   25,565/55,914 = 55,914/x
3. Step 3: Cross multiply
   25,565x = 55,914 × 55,914
4. Step 4: Simplify right side
   25,565x = 3,126,375,396
5. Step 5: Solve for x
   x = 3,126,375,396/25,565
6. Step 6: Final answer
   x = 122,291.23