Finding the Third Proportional to 1,441.63 and 2,223.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,441.63 : 2,223.31 = 2,223.31 : x
2. Step 2: Convert to fraction form
   1,441.63/2,223.31 = 2,223.31/x
3. Step 3: Cross multiply
   1,441.63x = 2,223.31 × 2,223.31
4. Step 4: Simplify right side
   1,441.63x = 4,943,096.76
5. Step 5: Solve for x
   x = 4,943,096.76/1,441.63
6. Step 6: Final answer
   x = 3,428.83