Finding the Third Proportional to 1,736.54 and 3,802.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.54 : 3,802.46 = 3,802.46 : x
2. Step 2: Convert to fraction form
   1,736.54/3,802.46 = 3,802.46/x
3. Step 3: Cross multiply
   1,736.54x = 3,802.46 × 3,802.46
4. Step 4: Simplify right side
   1,736.54x = 14,458,738.89
5. Step 5: Solve for x
   x = 14,458,738.89/1,736.54
6. Step 6: Final answer
   x = 8,326.16