Finding the Third Proportional to 1,478.81 and 2,182.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.81 : 2,182.22 = 2,182.22 : x
2. Step 2: Convert to fraction form
   1,478.81/2,182.22 = 2,182.22/x
3. Step 3: Cross multiply
   1,478.81x = 2,182.22 × 2,182.22
4. Step 4: Simplify right side
   1,478.81x = 4,762,078.67
5. Step 5: Solve for x
   x = 4,762,078.67/1,478.81
6. Step 6: Final answer
   x = 3,220.20