Finding the Third Proportional to 1,557.56 and 2,277.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,557.56 : 2,277.28 = 2,277.28 : x
2. Step 2: Convert to fraction form
   1,557.56/2,277.28 = 2,277.28/x
3. Step 3: Cross multiply
   1,557.56x = 2,277.28 × 2,277.28
4. Step 4: Simplify right side
   1,557.56x = 5,186,009.89
5. Step 5: Solve for x
   x = 5,186,009.89/1,557.56
6. Step 6: Final answer
   x = 3,329.57