Finding the Third Proportional to 1,438.17 and 2,233.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,438.17 : 2,233.83 = 2,233.83 : x
2. Step 2: Convert to fraction form
   1,438.17/2,233.83 = 2,233.83/x
3. Step 3: Cross multiply
   1,438.17x = 2,233.83 × 2,233.83
4. Step 4: Simplify right side
   1,438.17x = 4,989,988.09
5. Step 5: Solve for x
   x = 4,989,988.09/1,438.17
6. Step 6: Final answer
   x = 3,469.67