Finding the Third Proportional to 2,365 and 2,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365 : 2,993.50 = 2,993.50 : x
2. Step 2: Convert to fraction form
   2,365/2,993.50 = 2,993.50/x
3. Step 3: Cross multiply
   2,365x = 2,993.50 × 2,993.50
4. Step 4: Simplify right side
   2,365x = 8,961,042.25
5. Step 5: Solve for x
   x = 8,961,042.25/2,365
6. Step 6: Final answer
   x = 3,789.02