Finding the Third Proportional to 2,025 and 2,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,025 : 2,847.50 = 2,847.50 : x
2. Step 2: Convert to fraction form
   2,025/2,847.50 = 2,847.50/x
3. Step 3: Cross multiply
   2,025x = 2,847.50 × 2,847.50
4. Step 4: Simplify right side
   2,025x = 8,108,256.25
5. Step 5: Solve for x
   x = 8,108,256.25/2,025
6. Step 6: Final answer
   x = 4,004.08