Finding the Third Proportional to 7,825.69 and 17,401.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.69 : 17,401.13 = 17,401.13 : x
2. Step 2: Convert to fraction form
   7,825.69/17,401.13 = 17,401.13/x
3. Step 3: Cross multiply
   7,825.69x = 17,401.13 × 17,401.13
4. Step 4: Simplify right side
   7,825.69x = 302,799,151.27
5. Step 5: Solve for x
   x = 302,799,151.27/7,825.69
6. Step 6: Final answer
   x = 38,692.98