Finding the Third Proportional to 2,846.25 and 6,151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,846.25 : 6,151.50 = 6,151.50 : x
2. Step 2: Convert to fraction form
   2,846.25/6,151.50 = 6,151.50/x
3. Step 3: Cross multiply
   2,846.25x = 6,151.50 × 6,151.50
4. Step 4: Simplify right side
   2,846.25x = 37,840,952.25
5. Step 5: Solve for x
   x = 37,840,952.25/2,846.25
6. Step 6: Final answer
   x = 13,295.02