Finding the Third Proportional to 1,456.10 and 2,209.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.10 : 2,209.78 = 2,209.78 : x
2. Step 2: Convert to fraction form
   1,456.10/2,209.78 = 2,209.78/x
3. Step 3: Cross multiply
   1,456.10x = 2,209.78 × 2,209.78
4. Step 4: Simplify right side
   1,456.10x = 4,883,133.17
5. Step 5: Solve for x
   x = 4,883,133.17/1,456.10
6. Step 6: Final answer
   x = 3,353.57