Finding the Third Proportional to 2,851.50 and 7,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,851.50 : 7,031.50 = 7,031.50 : x
2. Step 2: Convert to fraction form
   2,851.50/7,031.50 = 7,031.50/x
3. Step 3: Cross multiply
   2,851.50x = 7,031.50 × 7,031.50
4. Step 4: Simplify right side
   2,851.50x = 49,441,992.25
5. Step 5: Solve for x
   x = 49,441,992.25/2,851.50
6. Step 6: Final answer
   x = 17,338.94