Finding the Third Proportional to 2,557.83 and 4,376.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.83 : 4,376.53 = 4,376.53 : x
2. Step 2: Convert to fraction form
   2,557.83/4,376.53 = 4,376.53/x
3. Step 3: Cross multiply
   2,557.83x = 4,376.53 × 4,376.53
4. Step 4: Simplify right side
   2,557.83x = 19,154,025.78
5. Step 5: Solve for x
   x = 19,154,025.78/2,557.83
6. Step 6: Final answer
   x = 7,488.39