Finding the Third Proportional to 2,840 and 4,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,840 : 4,097.50 = 4,097.50 : x
2. Step 2: Convert to fraction form
   2,840/4,097.50 = 4,097.50/x
3. Step 3: Cross multiply
   2,840x = 4,097.50 × 4,097.50
4. Step 4: Simplify right side
   2,840x = 16,789,506.25
5. Step 5: Solve for x
   x = 16,789,506.25/2,840
6. Step 6: Final answer
   x = 5,911.80