Finding the Third Proportional to 1,824.56 and 3,778.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,824.56 : 3,778.88 = 3,778.88 : x
2. Step 2: Convert to fraction form
   1,824.56/3,778.88 = 3,778.88/x
3. Step 3: Cross multiply
   1,824.56x = 3,778.88 × 3,778.88
4. Step 4: Simplify right side
   1,824.56x = 14,279,896.27
5. Step 5: Solve for x
   x = 14,279,896.27/1,824.56
6. Step 6: Final answer
   x = 7,826.48