Finding the Third Proportional to 7,826 and 17,401.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,826 : 17,401.63 = 17,401.63 : x
2. Step 2: Convert to fraction form
   7,826/17,401.63 = 17,401.63/x
3. Step 3: Cross multiply
   7,826x = 17,401.63 × 17,401.63
4. Step 4: Simplify right side
   7,826x = 302,816,552.64
5. Step 5: Solve for x
   x = 302,816,552.64/7,826
6. Step 6: Final answer
   x = 38,693.66