Finding the Third Proportional to 17,416 and 35,635

Step by Step Solution

1. Step 1: Write the proportion equation
   17,416 : 35,635 = 35,635 : x
2. Step 2: Convert to fraction form
   17,416/35,635 = 35,635/x
3. Step 3: Cross multiply
   17,416x = 35,635 × 35,635
4. Step 4: Simplify right side
   17,416x = 1,269,853,225
5. Step 5: Solve for x
   x = 1,269,853,225/17,416
6. Step 6: Final answer
   x = 72,913.02