Finding the Third Proportional to 7,825.50 and 17,400

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.50 : 17,400 = 17,400 : x
2. Step 2: Convert to fraction form
   7,825.50/17,400 = 17,400/x
3. Step 3: Cross multiply
   7,825.50x = 17,400 × 17,400
4. Step 4: Simplify right side
   7,825.50x = 302,760,000
5. Step 5: Solve for x
   x = 302,760,000/7,825.50
6. Step 6: Final answer
   x = 38,688.90