Finding the Third Proportional to 2,557.75 and 3,623

Step by Step Solution

1. Step 1: Write the proportion equation
   2,557.75 : 3,623 = 3,623 : x
2. Step 2: Convert to fraction form
   2,557.75/3,623 = 3,623/x
3. Step 3: Cross multiply
   2,557.75x = 3,623 × 3,623
4. Step 4: Simplify right side
   2,557.75x = 13,126,129
5. Step 5: Solve for x
   x = 13,126,129/2,557.75
6. Step 6: Final answer
   x = 5,131.90