Finding the Third Proportional to 7,825.50 and 17,230.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,825.50 : 17,230.50 = 17,230.50 : x
2. Step 2: Convert to fraction form
   7,825.50/17,230.50 = 17,230.50/x
3. Step 3: Cross multiply
   7,825.50x = 17,230.50 × 17,230.50
4. Step 4: Simplify right side
   7,825.50x = 296,890,130.25
5. Step 5: Solve for x
   x = 296,890,130.25/7,825.50
6. Step 6: Final answer
   x = 37,938.81