Finding the Third Proportional to 25,564 and 57,080

Step by Step Solution

1. Step 1: Write the proportion equation
   25,564 : 57,080 = 57,080 : x
2. Step 2: Convert to fraction form
   25,564/57,080 = 57,080/x
3. Step 3: Cross multiply
   25,564x = 57,080 × 57,080
4. Step 4: Simplify right side
   25,564x = 3,258,126,400
5. Step 5: Solve for x
   x = 3,258,126,400/25,564
6. Step 6: Final answer
   x = 127,449.79