Finding the Third Proportional to 2,307.50 and 3,578.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,307.50 : 3,578.75 = 3,578.75 : x
2. Step 2: Convert to fraction form
   2,307.50/3,578.75 = 3,578.75/x
3. Step 3: Cross multiply
   2,307.50x = 3,578.75 × 3,578.75
4. Step 4: Simplify right side
   2,307.50x = 12,807,451.56
5. Step 5: Solve for x
   x = 12,807,451.56/2,307.50
6. Step 6: Final answer
   x = 5,550.36