Finding the Third Proportional to 2,633 and 3,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633 : 3,693.50 = 3,693.50 : x
2. Step 2: Convert to fraction form
   2,633/3,693.50 = 3,693.50/x
3. Step 3: Cross multiply
   2,633x = 3,693.50 × 3,693.50
4. Step 4: Simplify right side
   2,633x = 13,641,942.25
5. Step 5: Solve for x
   x = 13,641,942.25/2,633
6. Step 6: Final answer
   x = 5,181.14