Finding the Third Proportional to 1,478.06 and 2,217.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,478.06 : 2,217.33 = 2,217.33 : x
2. Step 2: Convert to fraction form
   1,478.06/2,217.33 = 2,217.33/x
3. Step 3: Cross multiply
   1,478.06x = 2,217.33 × 2,217.33
4. Step 4: Simplify right side
   1,478.06x = 4,916,544.01
5. Step 5: Solve for x
   x = 4,916,544.01/1,478.06
6. Step 6: Final answer
   x = 3,326.34