Finding the Third Proportional to 17,577 and 25,704

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 25,704 = 25,704 : x
2. Step 2: Convert to fraction form
   17,577/25,704 = 25,704/x
3. Step 3: Cross multiply
   17,577x = 25,704 × 25,704
4. Step 4: Simplify right side
   17,577x = 660,695,616
5. Step 5: Solve for x
   x = 660,695,616/17,577
6. Step 6: Final answer
   x = 37,588.65