Finding the Third Proportional to 2,807.50 and 3,815

Step by Step Solution

1. Step 1: Write the proportion equation
   2,807.50 : 3,815 = 3,815 : x
2. Step 2: Convert to fraction form
   2,807.50/3,815 = 3,815/x
3. Step 3: Cross multiply
   2,807.50x = 3,815 × 3,815
4. Step 4: Simplify right side
   2,807.50x = 14,554,225
5. Step 5: Solve for x
   x = 14,554,225/2,807.50
6. Step 6: Final answer
   x = 5,184.05