Finding the Third Proportional to 1,805.63 and 3,783.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,805.63 : 3,783.38 = 3,783.38 : x
2. Step 2: Convert to fraction form
   1,805.63/3,783.38 = 3,783.38/x
3. Step 3: Cross multiply
   1,805.63x = 3,783.38 × 3,783.38
4. Step 4: Simplify right side
   1,805.63x = 14,313,926.39
5. Step 5: Solve for x
   x = 14,313,926.39/1,805.63
6. Step 6: Final answer
   x = 7,927.41