Finding the Third Proportional to 7,825.50 and 16,472.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.50 : 16,472.25 = 16,472.25 : x
2. Step 2: Convert to fraction form
   7,825.50/16,472.25 = 16,472.25/x
3. Step 3: Cross multiply
   7,825.50x = 16,472.25 × 16,472.25
4. Step 4: Simplify right side
   7,825.50x = 271,335,020.06
5. Step 5: Solve for x
   x = 271,335,020.06/7,825.50
6. Step 6: Final answer
   x = 34,673.19