Finding the Third Proportional to 7,180 and 17,402

Step by Step Solution

1. Step 1: Write the proportion equation
   7,180 : 17,402 = 17,402 : x
2. Step 2: Convert to fraction form
   7,180/17,402 = 17,402/x
3. Step 3: Cross multiply
   7,180x = 17,402 × 17,402
4. Step 4: Simplify right side
   7,180x = 302,829,604
5. Step 5: Solve for x
   x = 302,829,604/7,180
6. Step 6: Final answer
   x = 42,176.83