Finding the Third Proportional to 2,011.50 and 3,818.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,011.50 : 3,818.25 = 3,818.25 : x
2. Step 2: Convert to fraction form
   2,011.50/3,818.25 = 3,818.25/x
3. Step 3: Cross multiply
   2,011.50x = 3,818.25 × 3,818.25
4. Step 4: Simplify right side
   2,011.50x = 14,579,033.06
5. Step 5: Solve for x
   x = 14,579,033.06/2,011.50
6. Step 6: Final answer
   x = 7,247.84