Finding the Third Proportional to 1,783.88 and 3,818.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,783.88 : 3,818.63 = 3,818.63 : x
2. Step 2: Convert to fraction form
   1,783.88/3,818.63 = 3,818.63/x
3. Step 3: Cross multiply
   1,783.88x = 3,818.63 × 3,818.63
4. Step 4: Simplify right side
   1,783.88x = 14,581,896.89
5. Step 5: Solve for x
   x = 14,581,896.89/1,783.88
6. Step 6: Final answer
   x = 8,174.28