Finding the Third Proportional to 1,461.53 and 2,228.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.53 : 2,228.78 = 2,228.78 : x
2. Step 2: Convert to fraction form
   1,461.53/2,228.78 = 2,228.78/x
3. Step 3: Cross multiply
   1,461.53x = 2,228.78 × 2,228.78
4. Step 4: Simplify right side
   1,461.53x = 4,967,474.57
5. Step 5: Solve for x
   x = 4,967,474.57/1,461.53
6. Step 6: Final answer
   x = 3,398.81