Finding the Third Proportional to 17,640 and 25,636

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 25,636 = 25,636 : x
2. Step 2: Convert to fraction form
   17,640/25,636 = 25,636/x
3. Step 3: Cross multiply
   17,640x = 25,636 × 25,636
4. Step 4: Simplify right side
   17,640x = 657,204,496
5. Step 5: Solve for x
   x = 657,204,496/17,640
6. Step 6: Final answer
   x = 37,256.49