Finding the Third Proportional to 2,511.75 and 3,677.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511.75 : 3,677.25 = 3,677.25 : x
2. Step 2: Convert to fraction form
   2,511.75/3,677.25 = 3,677.25/x
3. Step 3: Cross multiply
   2,511.75x = 3,677.25 × 3,677.25
4. Step 4: Simplify right side
   2,511.75x = 13,522,167.56
5. Step 5: Solve for x
   x = 13,522,167.56/2,511.75
6. Step 6: Final answer
   x = 5,383.56