Finding the Third Proportional to 2,034.65 and 2,188.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,034.65 : 2,188.42 = 2,188.42 : x
2. Step 2: Convert to fraction form
   2,034.65/2,188.42 = 2,188.42/x
3. Step 3: Cross multiply
   2,034.65x = 2,188.42 × 2,188.42
4. Step 4: Simplify right side
   2,034.65x = 4,789,198.85
5. Step 5: Solve for x
   x = 4,789,198.85/2,034.65
6. Step 6: Final answer
   x = 2,353.82