Finding the Third Proportional to 1,748.81 and 3,805.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.81 : 3,805.31 = 3,805.31 : x
2. Step 2: Convert to fraction form
   1,748.81/3,805.31 = 3,805.31/x
3. Step 3: Cross multiply
   1,748.81x = 3,805.31 × 3,805.31
4. Step 4: Simplify right side
   1,748.81x = 14,480,403.22
5. Step 5: Solve for x
   x = 14,480,403.22/1,748.81
6. Step 6: Final answer
   x = 8,280.13