Finding the Third Proportional to 25,568 and 61,004

Step by Step Solution

1. Step 1: Write the proportion equation
   25,568 : 61,004 = 61,004 : x
2. Step 2: Convert to fraction form
   25,568/61,004 = 61,004/x
3. Step 3: Cross multiply
   25,568x = 61,004 × 61,004
4. Step 4: Simplify right side
   25,568x = 3,721,488,016
5. Step 5: Solve for x
   x = 3,721,488,016/25,568
6. Step 6: Final answer
   x = 145,552.57