Finding the Third Proportional to 17,130 and 25,577

Step by Step Solution

1. Step 1: Write the proportion equation
   17,130 : 25,577 = 25,577 : x
2. Step 2: Convert to fraction form
   17,130/25,577 = 25,577/x
3. Step 3: Cross multiply
   17,130x = 25,577 × 25,577
4. Step 4: Simplify right side
   17,130x = 654,182,929
5. Step 5: Solve for x
   x = 654,182,929/17,130
6. Step 6: Final answer
   x = 38,189.31