Finding the Third Proportional to 2,256.19 and 3,384.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.19 : 3,384.28 = 3,384.28 : x
2. Step 2: Convert to fraction form
   2,256.19/3,384.28 = 3,384.28/x
3. Step 3: Cross multiply
   2,256.19x = 3,384.28 × 3,384.28
4. Step 4: Simplify right side
   2,256.19x = 11,453,359.58
5. Step 5: Solve for x
   x = 11,453,359.58/2,256.19
6. Step 6: Final answer
   x = 5,076.42