Finding the Third Proportional to 1,034.16 and 2,212.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,034.16 : 2,212.59 = 2,212.59 : x
2. Step 2: Convert to fraction form
   1,034.16/2,212.59 = 2,212.59/x
3. Step 3: Cross multiply
   1,034.16x = 2,212.59 × 2,212.59
4. Step 4: Simplify right side
   1,034.16x = 4,895,571.10
5. Step 5: Solve for x
   x = 4,895,571.10/1,034.16
6. Step 6: Final answer
   x = 4,733.88