Finding the Third Proportional to 17,466 and 25,635

Step by Step Solution

1. Step 1: Write the proportion equation
   17,466 : 25,635 = 25,635 : x
2. Step 2: Convert to fraction form
   17,466/25,635 = 25,635/x
3. Step 3: Cross multiply
   17,466x = 25,635 × 25,635
4. Step 4: Simplify right side
   17,466x = 657,153,225
5. Step 5: Solve for x
   x = 657,153,225/17,466
6. Step 6: Final answer
   x = 37,624.71