Finding the Third Proportional to 2,137.50 and 2,826

Step by Step Solution

1. Step 1: Write the proportion equation
   2,137.50 : 2,826 = 2,826 : x
2. Step 2: Convert to fraction form
   2,137.50/2,826 = 2,826/x
3. Step 3: Cross multiply
   2,137.50x = 2,826 × 2,826
4. Step 4: Simplify right side
   2,137.50x = 7,986,276
5. Step 5: Solve for x
   x = 7,986,276/2,137.50
6. Step 6: Final answer
   x = 3,736.27