Finding the Third Proportional to 1,748.94 and 3,805.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.94 : 3,805.56 = 3,805.56 : x
2. Step 2: Convert to fraction form
   1,748.94/3,805.56 = 3,805.56/x
3. Step 3: Cross multiply
   1,748.94x = 3,805.56 × 3,805.56
4. Step 4: Simplify right side
   1,748.94x = 14,482,305.94
5. Step 5: Solve for x
   x = 14,482,305.94/1,748.94
6. Step 6: Final answer
   x = 8,280.63