Finding the Third Proportional to 2,281.78 and 4,671.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,281.78 : 4,671.56 = 4,671.56 : x
2. Step 2: Convert to fraction form
   2,281.78/4,671.56 = 4,671.56/x
3. Step 3: Cross multiply
   2,281.78x = 4,671.56 × 4,671.56
4. Step 4: Simplify right side
   2,281.78x = 21,823,496.19
5. Step 5: Solve for x
   x = 21,823,496.19/2,281.78
6. Step 6: Final answer
   x = 9,564.24