Finding the Third Proportional to 2,583.75 and 3,767.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.75 : 3,767.25 = 3,767.25 : x
2. Step 2: Convert to fraction form
   2,583.75/3,767.25 = 3,767.25/x
3. Step 3: Cross multiply
   2,583.75x = 3,767.25 × 3,767.25
4. Step 4: Simplify right side
   2,583.75x = 14,192,172.56
5. Step 5: Solve for x
   x = 14,192,172.56/2,583.75
6. Step 6: Final answer
   x = 5,492.86