Finding the Third Proportional to 17,128 and 25,574

Step by Step Solution

1. Step 1: Write the proportion equation
   17,128 : 25,574 = 25,574 : x
2. Step 2: Convert to fraction form
   17,128/25,574 = 25,574/x
3. Step 3: Cross multiply
   17,128x = 25,574 × 25,574
4. Step 4: Simplify right side
   17,128x = 654,029,476
5. Step 5: Solve for x
   x = 654,029,476/17,128
6. Step 6: Final answer
   x = 38,184.81