Finding the Third Proportional to 2,025 and 3,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,025 : 3,793.50 = 3,793.50 : x
2. Step 2: Convert to fraction form
   2,025/3,793.50 = 3,793.50/x
3. Step 3: Cross multiply
   2,025x = 3,793.50 × 3,793.50
4. Step 4: Simplify right side
   2,025x = 14,390,642.25
5. Step 5: Solve for x
   x = 14,390,642.25/2,025
6. Step 6: Final answer
   x = 7,106.49